Jurnal Fourier最新文献

{"title":"Determinan Matriks FLScircr Bentuk Khusus n×n,n≥3 Menggunakan Metode Salihu","authors":"Ade Novia Rahma, Kartika Swandayani, C. C. Marzuki","doi":"10.14421/fourier.2019.81.27-34","DOIUrl":"https://doi.org/10.14421/fourier.2019.81.27-34","url":null,"abstract":"Determinan mempunyai peranan penting dalam menyelesaikan beberapa persoalan dalam matriks dan banyak dipergunakan dalam ilmu matematika maupun ilmu terapannya. Kondensasi Salihu merupakan salah satu metode yang dapat digunakan dalam menentukan determinan matriks yang memiliki ordo . Metode Kondensasi Salihu merupakan metode gabungan antara Kondensasi Dodgson dan Kondensasi Chio. Penelitian ini bertujuan untuk menentukan determinan matriks  bentuk khusus dengan menggunakan metode Kondensasi Salihu. Dalam menentukan determinan matriks  bentuk khusus terdapat beberapa langkah yang dikerjakan. Pertama diperhatikan pola detrminan matriks   bentuk khusus berode  sampai . Kedua pembuktian bentuk umum determinan menggunakan metode induksi matematika. Hasil yang diperoleh adalah didapatkannya bentuk umum dari matriks   bentuk khusus. Aplikasi juga dibahas didalam bentuk contoh. \u0000[Determinants have an important role in solving several problems in the matrics and are widely used in mathematics and applied sciences. Salihu condensation is one method that can be used to determine the determinant of a matrics that has an order  The Salihu Condensation Method is a combined method between Dodgson Condensation and Chio Condensation. This study aims to determine the determinant of a specially   matrics form using the Salihu Condensation method. In determining the determinant of a specially matrics there are several steps taken. First, attention the determinant pattern of a specially matrics in orde of 3×3 to 10×10. Second, prove of the general form of determinant using the mathematical induction method. The result obtained is the determination of the general determinant from of a specially matrics.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46182666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Treynor Ratio to Measure Islamic Stock Performance in Indonesia","authors":"Mohammad Farhan Qudratullah","doi":"10.14421/fourier.2019.81.1-13","DOIUrl":"https://doi.org/10.14421/fourier.2019.81.1-13","url":null,"abstract":"Treynor Ratio merupakan model pioner inovatif ukuran kinerja saham yang dikemukakan Jack Treynor pada tahun 1965 yang terdiri atas 3 (tiga) komponen, yaitu return saham, return bebas risiko, dan beta saham. Banyak penelitian mendekati return bebas risiko dengan suku bunga termasuk saat mengukur kinerja saham syariah, sedangkan suku bunga dilarang dalam konsep keuangan islam. Tulisan ini membahas variabel alternatif untuk mendekati return bebas risiko selain dengan suku bunga (BI-Rate), yaitu dengan 4 (empat) pendekatan, yaitu: menghilangkan suku bunga, mengganti dengan zakat rate, mengganti dengan inflasi, dan mengganti dengan gross domestic produc (GDP) pada model Treynor Ratio yang diimplementasikan pada pasar modal syariah di Indonesia periode Januari 2011-Juli 2018. Hasil yang diperoleh adalah terdapat kesesuaian yang sangat tinggi hasil pengukuran model Treynor Ratio dengan suku bunga dengan keempat model lainnya. Namun, model-model tersebut tidak menjamin bahwa saham yang memilki kinerja terbaik pada saat ini akan memilki kinerja terbaik dimasa yang akan datang atau sebaliknya. Dilihat dari kedekatan hasil pengukuran kinerjanya, kelima model Treynor Ratio tersebut dapat dikelompokan jadi 2 (dua), yaitu model dengan suku bunga, model dengan inflasi, dan model dengan GDP sebagai kelompok pertama, sedangkan model tanpa suku bunga dan model dengan zakat-rate sebagai kelompok kedua. \u0000[Treynor Ratio is an innovative pioneer model the size of stock performance proposed by Jack Treynor in 1965 which consists of 3 (three) components, namely stock returns, risk free returns, and stock beta. Many studies approach risk-free returns with interest rates, including when measuring the performance of Islamic stocks, while interest rates are prohibited in the concept of Islamic finance. This paper discusses alternative variables to approach risk-free returns other than interest rates (BI-Rate), namely with 4 (four) approaches, namely: eliminating interest rates, changing zakat rates, changing inflation, and substituting gross domestic products (GDP) in the Treynor Ratio model that is implemented in the Islamic capital market in Indonesia for the period January 2011 - July 2018. The results obtained are very high conformity in the measurement results of the Treynor Ratio model with interest rates with the other four models. However, these models do not guarantee that stocks that have the best performance at this time will have the best performance in the future or vice versa. Judging from the closeness of the results of performance measurement, the five Treynor Ratio models can be grouped into 2 (two), namely models with interest rates, models with inflation, and models with GDP as the first group, while models without interest rates and models with zakat-rate as second group.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43279227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Analisis Sistem Antrian dengan Simulasi di Puskesmas Cebongan Kota Salatiga","authors":"Puput Retno Muninggar, L. Linawati, H. A. Parhusip","doi":"10.36815/MAJAMATH.V2I1.357","DOIUrl":"https://doi.org/10.36815/MAJAMATH.V2I1.357","url":null,"abstract":"Tujuan dari penelitian ini adalah untuk mendapatkan model sistem antrian, mengetahui karakteristik sistem antrian, dan mendapatkan  hasil analisis simulasi pada sistem antrian di Puskesmas Cebongan Kota Salatiga. Pengumpulan data dilakukan dengan metode observasi langsung pada bagian Pendaftaran, bagian Cek Tekanan Darah dan bagian Periksa di Poliklinik Umum, dan bagian Pengambilan Obat. Hasil penelitian diperoleh masing-masing model antrian di bagian Pendaftaran, bagian Cek Tekanan Darah, dan bagian Pengambilan Obat adalah (G/G/1) : (FIFO/∞/∞), dimana waktu antar kedatangan dan waktu pelayanan berdistribusi general, jumlah server 1, disiplin antrian FIFO, kapasitas sistem dan kapasitas kedatangan yang tidak terbatas. Model antrian di bagian Periksa yaitu (G/G/2) : (FIFO/∞/∞), yaitu waktu antar kedatangan dan waktu pelayanan berdistribusi general, jumlah server 2, disiplin antrian FIFO, kapasitas sistem dan kapasitas kedatangan yang tidak terbatas. Kesesuaian hasil simulasi setiap pelayanan sudah mendekati kondisi nyatanya, namun pada bagian Cek Tekanan Darah dan Pengambilan Obat terdapat beberapa karakteristik yang belum sesuai dengan kondisi nyata. Hasil simulasi rata-rata jumlah pasien dalam antrian dan rata-rata waktu pasien dalam antrian pada bagian Cek Tekanan Darah dan bagian Pengambilan Obat lebih besar dari kondisi nyata. \u0000[The purpose of this study are to obtain a queuing system model, find out the characteristics of the queuing system, and obtain the results of simulation analysis on the queuing system in Cebongan Health Center, Salatiga City. Data collection is done by direct observation method in the Registration section, the Blood Pressure Check section and the Check section in the General Polyclinic, and the Drug Collection section. The results of the study were obtained by each queue model in the Registration section, the Blood Pressure Check section, and the Drug Extraction section is (G/G/1) : (FIFO/∞/∞), where the time of arrival and service time are generally distributed, the number of servers 1, FIFO queue discipline, unlimited system capacity and arrival capacity. The queue model in the Check section is (G/G/2) : (FIFO/∞/∞), which is the time between arrival and general distribution service time, number of servers 2, FIFO queue discipline, unlimited system capacity and arrival capacity. The suitability of the simulation results for each service is close to the actual conditions, but in the Checking Blood Pressure and Drug Taking section there are several characteristics that are not in accordance with the real conditions. The simulation results of the average number of patients in the queue and the average time of patients in the queue at the Blood Pressure Check and Drug Extraction section are greater than the real conditions.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48195490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Operator Linear-2 Terbatas pada Ruang Bernorma-2 Non-Archimedean","authors":"Burhanudin Arif Nurnugroho, Supama Supama, A. Zulijanto","doi":"10.14421/fourier.2019.82.43-50","DOIUrl":"https://doi.org/10.14421/fourier.2019.82.43-50","url":null,"abstract":"Di dalam paper ini dikonstruksikan operator linear-2 terbatas dari X2 ke Y , dengan X  ruang bernorma-2 non-Archimedean dan  ruang bernorma non-Archimedean. Di dalam paper ini ditunjukan bahwa himpunan semua operator linear-2 terbatas dari X2 to Y , ditulis B(X2, Y) merupakan ruang bernorma non-Archimedean. Selanjutnya, ditunjukan bahwa B(X2, Y), apabila Y ruang Banach non-Archimedean. [In this paper we construct  bounded 2-linear operators from X2  to Y, where X is non-Archimedean 2-normed spaces and  is a non-Archimedean-normed space. We prove that the set of all bounded 2-linear operators from X2 to Y  , denoted by B(X2, Y) is a non-Archimedean normed spaces. Furthermore, we show that B(X2, Y) is a non-Archimedean Banach normed space, whenever Y is a non-Archimedean Banach space.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66960482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Penerapan Metode GARCH-Vine Copula untuk Estimasi Value at Risk (VaR) pada Portofolio","authors":"H. O. Pintari, Retno Subekti","doi":"10.14421/FOURIER.2018.72.63-77","DOIUrl":"https://doi.org/10.14421/FOURIER.2018.72.63-77","url":null,"abstract":"Salah satu alat ukur yang digunakan untuk menghitung risiko portofolio adalah Value at Risk (VaR). Beberapa metode pengukuran VaR mengasumsikan return berdistribusi normal dan ukuran dependensi antar saham menggunakan korelasi linear. Faktanya, asumsi normalitas pada data finansial jarang terpenuhi dan terdapat indikasi adanya heteroskedastisitas. Selain itu, kebergantungan antar saham yang non-linear tidak sesuai apabila diukur dengan korelasi linear. Penyimpangan ini menyebabkan tidak validnya estimasi VaR. Tujuan dari penelitian ini adalah untuk mengetahui penerapan metode GARCH-Vine Copula untuk estimasi VaR pada portofolio. Vine Copula adalah fungsi distribusi multivariat yang menggabungkan distribusi marginal return univariat dalam portofolio, dan dapat menggambarkan struktur kebergantungan non-linearnya. Vine Copula dapat dilakukan dengan menentukan dekomposisi Vine Copula dan fungsi keluarga copulanya. Dekomposisi Vine Copula dilakukan dengan menggunakan C-Vine dan D-Vine Copula. Kemudian dengan menggunakan fungsi copula keluarga Archimedean, yaitu Clayton, Gumbel, dan Frank dapat ditentukan distribusi bersamanya. Pembentukan distribusi marginal menggunakan model GARCH berdistribusi Student-t digunakan untuk mengatasi adanya heteroskedastisitas. Hasil penerapan dari tiga saham perbankan, yaitu BBNI, BBRI, dan BMRI periode 26 Agustus 2013 hingga 20 November 2017 diperoleh model D-Vine Copula dengan fungsi copula Frank adalah model terbaik untuk memodelkan data, dengan nilai VaR sebesar 1,86%, 2,56%, dan 4,49% dari dana investasi pada tingkat kepercayaan 90%, 95%, dan 99%. \u0000[One of the measurement instrument that are used to calculate the risk of portfolio is Value at Risk (VaR). Several methods of measuring VaR assumes normal and the size of dependencies return between the stock using a linear correlation. Basically, the assumption normal in financial data is violated and the possibility of heteroscedasticity is indicated. In addition, dependences non-linear is not appropriate when measured with a linear correlation. This deviation causes invalidity VaR estimation. The purpose of this research is to know the application of GARCH-Vine Copula method for estimation of VaR on portfolio. Vine Copula is a multivariate distribution function that combines the univariate marginal distribution of return in portfolio, and it can describe the structure of dependencies non-linear. Vine Copula can be done by determining the decomposition of Vine Copula and its copula family function. Vine Copula decomposition is using C-Vine and D-Vine Copula. Then by using the copula function of the Archimedean family, namely Clayton, Gumbel, and Frank can be determined the joint distribution. The facts, the formation of the marginal distribution of GARCH model using the student-t distribution used to overcome the presence of heteroscedasticity. The result of the application of these stocks namely BBNI, BBRI, and BMRI from 26 August 2013 to 20 November 2017 has shown m","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45822159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Penerapan Persamaan Diferensial Verhulst dalam Menentukan Proyeksi Penduduk di Kabupaten Tulungagung","authors":"Dewi Anggreini","doi":"10.14421/FOURIER.2018.72.87-102","DOIUrl":"https://doi.org/10.14421/FOURIER.2018.72.87-102","url":null,"abstract":"Penelitian ini bertujuan menentukan proyeksi pertumbuhan penduduk di Kabupaten Tulungagung provinsi Jawa Timur dengan model persamaan diferensial Verhulst berdasarkan laju pertumbuhan dan daya tampung (carrying capacity). Target khusus dari hasil penelitian ini adalah model pertumbuhan logistik bisa digunakan sebagai alat untuk mengetahui proyeksi pertumbuhan penduduk berdasarkan laju pertumbuhan dan daya tampung dibeberapa daerah di Indonesia. Metode riset yang digunakan pada tahap pertama adalah menentukan subjek penelitian dan tahap Kedua adalah (1) mengumpulkan data penelitian (2) analisis data dan terakhir menarik kesimpulan. Data penelitian ini diperoleh dari BPS Kabupaten Tulungagung yaitu jumlah penduduk dari tahun 2010-2016. Hasil Penelitian menunjukkan bahwa: 1) Besarnya nilai carrying capacity yang membatasi penduduk di Kabupaten Tulungagung adalah sebesar 1.089.103,3. 2) Laju pertumbuhan intrinsik penduduk di kabupaten Tulungagung dengan menggunakan Model pertumbuhan logistik adalah sebesar r = 0,07480. 3) Jumlah penduduk di Kabupaten Tulungagung pada tahun 2025 dari hasil estimasi menggunakan model pertumbuhan logistik adalah sebesar 1.055.578 jiwa. 4) Proyeksi jumlah penduduk di Kabupaten Tulungagung  lebih tepat menggunakan model logistik I dengan persamaannya . Penelitian ini diharapkan dapat bermanfaat bagi semua pihak khususnya pada bidang matematika terapan serta metode dalam  menghitung pertumbuhan populasi di suatu daerah pada periode yang akan datang. \u0000[This study aims to determine the projected population growth in Tulungagung Regency of East Java province with a model of Verhulst differential equations based on growth rate and carrying capacity. The specific target of this research is logistic growth model can be used as a tool to know the projection of population growth based on growth rate and capacity in some regions in Indonesia. Research methods used in the first stage is to determine the subject of research and the second stage is (1) collect research data (2) data analysis and last draw conclusions. The data of this research is obtained from BPS of Tulungagung Regency that is population from 2010-2016. The results showed that: 1) The amount of carrying capacity that limits the population in Tulungagung Regency is equal 1.089.103,3. 2) The intrinsic growth rate of the population in Tulungagung district using the logistic growth model is r = 0,07480 3) The population in Tulungagung District in 2025 from the estimation using the logistic growth model is 1.055.578 soul, 4) The projection of population in Tulungagung is more appropriate using the logistic model I with the equation .  This study is expected to be useful for all parties, especially in the field of applied mathematics and methods in calculating population growth in an area in the period to come.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43374298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Pengklasteran Kabupaten/Kota di Jawa Tengah berdasarkan Tenaga Kesehatan dengan Menggunakan Metode Ward dan K-Means","authors":"S. Lestari, Epha Diana Supandi, P. Rahayu","doi":"10.14421/FOURIER.2018.72.103-109","DOIUrl":"https://doi.org/10.14421/FOURIER.2018.72.103-109","url":null,"abstract":"Analisis klaster merupakan suatu metode yang digunakan untuk mengelompokkan objek (kasus) ke dalam klaster (kelompok) yang relatif sama.  Tujuan penelitian ini untuk mengklasterkan Kabupaten/Kota di Provinsi Jawa Tengah berdasarkan tenaga kesehatan tahun 2015 seperti tenaga medis, tenaga keperawatan, tenaga kebidanan, tenaga kefarmasian dan tenaga kesehatan lainnya dengan menggunakan metode Ward dan K-Means. Hasil penelitian menunjukkan ada tiga klaster terbentuk dimana metode Ward menghasilkan nilai rasio simpangan baku sebesar 0,3019% lebih besar jika dibandingkan dengan nilai rasio simpangan baku pada metode K-Means yaitu 0,2974%. Pada kasus ini, metode K-Means merupakan metode yang lebih baik dibandingkan metode Ward. \u0000[Cluster analysis is a method used to group objects (cases) into clusters (groups) that are relatively the same. The purpose of this study is to classify districts/cities in Central Java Province based on health worker in 2015 such as medical personnel, nursing staff, midwifery staff, pharmacy personnel and health workers using the Ward and K-Means methods. The results show that there are three clusters formed where the Ward method produce a standard deviation ratio of 0.3019% greater than the standard deviation ratio in the K-Means method, which is 0.2974%. In this case, the K-Means method is a better method than the Ward method.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43968067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Melacak Dampak Perubahan Iklim Terhadap Kondisi Makroekonomi dengan Teori Permainan Dinamis","authors":"Muhammad Wakhid Musthofa","doi":"10.14421/FOURIER.2018.72.57-62","DOIUrl":"https://doi.org/10.14421/FOURIER.2018.72.57-62","url":null,"abstract":"Makalah ini membahas tentang model matematika dampak perubahan iklim terhadap kondisi makroekonomi suatu negara. Dengan mengacu pada model pertumbuhan ekonomi endogen pada suatu negara, dengan fungsi output berbentuk fungsi Cobb-Douglas akan diturunkan model matematika yang mendeskripsikan dampak perubahan iklim terhadap kondisi makroekonomi suatu negara. Selanjutnya, akan dikonstruksikan pula fungsi ongkos yang berhubungan dengan model matematika yang telah diturunkan. Mengingat model matematika tersebut masih dalam bentuk sistem persamaan nonlinear, maka diperlukan proses linearisasi untuk menghasilkan model matematika yang linear sehingga memudahkan untuk dianalisis maupun diaplikasikan. \u0000[This paper discusses the mathematical model of the impact of climate change on the macroeconomic conditions of a country. By referring to an endogenous economic growth model in a country, with the output function in the form of a Cobb-Douglas function, a mathematical model will be described that describes the effects of climate change on the macroeconomic conditions of a country. Furthermore, it will also construct cost functions related to mathematical models that have been derived. Considering that the mathematical model is still in the form of a nonlinear equation system, a linearisation process is needed to produce a linear mathematical model that makes it easy to analyze and apply.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44543081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Ideal Dasar Prima Dalam Aljabar Atas Suatu Ring Komutatif","authors":"Khurul Wardati","doi":"10.14421/fourier.2018.72.79-86","DOIUrl":"https://doi.org/10.14421/fourier.2018.72.79-86","url":null,"abstract":"Definisi ideal dasar dan ideal bebas dalam aljabar bebas atas ring komutatif dengan elemen satuan adalah ekuivalen. Namun, ideal dasar dalam suatu aljabar tak bebas belum tentu merupakan ideal bebas, sementara ideal bebas pasti ideal dasar. Artikel ini membahas beberapa sifat ideal dasar prima dalam aljabar tak bebas atas ring komutatif dengan elemen satuan. \u0000[The definitions of basic ideal and free ideal in free algebras over a unital commutative ring are equivalen. However, a basic ideal in the non-free algebra is not neceearily a free ideal, while any free ideal is definitely a basic ideal. This paper will discuss some properties of prime basic ideal in non-free algebras over a unital commutative ring.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48028476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}