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CHARACTERIZATION OF WEAKLY PRIME SUBMODULE 弱素子模的性质
Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-11-30 DOI: 10.14710/jfma.v4i2.12189
Puspa Nur Afifah, Ira Irawati
{"title":"CHARACTERIZATION OF WEAKLY PRIME SUBMODULE","authors":"Puspa Nur Afifah, Ira Irawati","doi":"10.14710/jfma.v4i2.12189","DOIUrl":"https://doi.org/10.14710/jfma.v4i2.12189","url":null,"abstract":"Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have researched and introduced the multiplication module. Prime submodule has been studied by Ameri (2002). Then Atani and Farzalipour (2007) have extended the prime submodule to weakly prime submodule. Some properties were proved on each paper. This paper will study about characterization of weakly prime submodules.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"238 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116448735","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}
引用次数: 0
BEBERAPA SIFAT (R,S)-SUBMODUL PRIMA-α GABUNGAN PRIMA-α 连接的 (R,S) 子模式的一些特征
Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-11-30 DOI: 10.14710/jfma.v4i2.12105
Dian Ariesta Yuwaningsih, Rusmining Rusmining, P. W. Prasetyo
{"title":"BEBERAPA SIFAT (R,S)-SUBMODUL PRIMA-α GABUNGAN","authors":"Dian Ariesta Yuwaningsih, Rusmining Rusmining, P. W. Prasetyo","doi":"10.14710/jfma.v4i2.12105","DOIUrl":"https://doi.org/10.14710/jfma.v4i2.12105","url":null,"abstract":"Diberikan  dan  merupakan ring komutatif. Keprimaan pada suatu ring telah mengalami perkembangan ke dalam struktur modul. Namun, definisi keprimaan yang ada selama ini hanya berfokus pada operasi pergandaan skalar di dalam modul. Submodul prima-α  merupakan salah satu perumuman dari submodul prima yang melibatkan operasi aditif dan pergandaan skalar di dalam modul. Pada artikel ini disajikan generalisasi dari submodul prima-α  ke dalam struktur (R,S)-modul, yang selanjutnya disebut (R,S)-submodul prima-α  gabungan. Selanjutnya, disajikan beberapa sifat dari (R,S)-submodul prima-α  gabungan. Beberapa sifat tersebut diantaranya adalah syarat perlu dan syarat cukup suatu (R,S)-submodul membentuk (R,S)-submodul prima-α  gabungan; sifat (R,S)-submodul prima-α  gabungan yang berkaitan dengan homomorfisma (R,S)-modul; serta syarat perlu dan syarat cukup suatu (R,S)-submodul faktor membentuk (R,S)-submodul prima-α  gabungan. Beberapa sifat (R,S)-submodul prima-α  gabungan tersebut diperoleh dari pengembangan sifat keprimaan dalam struktur modul.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"37 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134634983","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}
引用次数: 0
QUADRATIC POLYNOMIAL OF POWER SUMS AND ALTERNATING POWER SUMS 幂和和和的二次多项式
Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-11-30 DOI: 10.14710/jfma.v4i2.10675
Leomarich F. Casinillo
{"title":"QUADRATIC POLYNOMIAL OF POWER SUMS AND ALTERNATING POWER SUMS","authors":"Leomarich F. Casinillo","doi":"10.14710/jfma.v4i2.10675","DOIUrl":"https://doi.org/10.14710/jfma.v4i2.10675","url":null,"abstract":"This study aims to construct quadratic polynomials in n for power sums and alternating power sums of consecutive positive integers. In addition, this paper evaluated the said quadratic polynomials under odd and even terms of the series.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115764608","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}
引用次数: 0
KARAKTERISASI DAN BEBERAPA SIFAT RUANG CEC CEC空间的特性和特征
Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-11-30 DOI: 10.14710/jfma.v4i2.12199
E. Firdaus, Ade Ima Afifa Himayati
{"title":"KARAKTERISASI DAN BEBERAPA SIFAT RUANG CEC","authors":"E. Firdaus, Ade Ima Afifa Himayati","doi":"10.14710/jfma.v4i2.12199","DOIUrl":"https://doi.org/10.14710/jfma.v4i2.12199","url":null,"abstract":"Abstract. In this paper, we define the notion of CEC spaces. We also study about acharacterization and some properties of CEC spaces such as hereditary, topologicalproperty, finite productive, and divisible.Abstrak. Di dalam tulisan ini, didefinisikan ruang CEC. Dibahas pula karakterisasidan beberapa sifat ruang CEC seperti menurun, sifat topologi, produk berhingga, dan terbagi.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128548762","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}
引用次数: 0
SOME CARTESIAN PRODUCTS OF A PATH AND PRISM RELATED GRAPHS THAT ARE EDGE ODD GRACEFUL 边奇优美的路径图与棱镜图的笛卡尔积
Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-11-30 DOI: 10.14710/jfma.v4i2.11607
Y. Susanti, Iwan Ernanto, Aluysius Sutjijana, Sufyan Sidiq
{"title":"SOME CARTESIAN PRODUCTS OF A PATH AND PRISM RELATED GRAPHS THAT ARE EDGE ODD GRACEFUL","authors":"Y. Susanti, Iwan Ernanto, Aluysius Sutjijana, Sufyan Sidiq","doi":"10.14710/jfma.v4i2.11607","DOIUrl":"https://doi.org/10.14710/jfma.v4i2.11607","url":null,"abstract":"Let $G$ be a connected undirected simple graph of size $q$ and let $k$ be the maximum number of its order and its size. Let $f$ be a bijective edge labeling which codomain is the set of odd integers from 1 up to $2q-1$. Then $f$ is called an edge odd graceful on $G$ if the weights of all vertices are distinct, where the weight of a vertex $v$ is defined as the sum $mod(2k)$ of all labels of edges incident to $v$. Any graph that admits an edge odd graceful labeling is called an edge odd graceful graph. In this paper, some new graph classes that are edge odd graceful are presented, namely some cartesian products of path of length two and some circular related graphs.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129479314","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}
引用次数: 0
BILANGAN TERHUBUNG PELANGI PADA GRAF SALJU (Sn_m)
Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-07-01 DOI: 10.14710/jfma.v4i1.9035
Cindy Aisa Putri Noor, Lailany Yahya, Salmun K Nasib, Nisky Imansyah Yahya
{"title":"BILANGAN TERHUBUNG PELANGI PADA GRAF SALJU (Sn_m)","authors":"Cindy Aisa Putri Noor, Lailany Yahya, Salmun K Nasib, Nisky Imansyah Yahya","doi":"10.14710/jfma.v4i1.9035","DOIUrl":"https://doi.org/10.14710/jfma.v4i1.9035","url":null,"abstract":"Suatu graf dikatakan terhubung pelangi jika terdapat lintasan antara dua titik yang setiap sisi-sisinya memiliki warna berbeda. Misalkan terdapat suatu graf G tak trivial dengan definisi warna c:E(G)->{1,2,3,...}, maka bilangan terhubung pelangi dari graf G yaitu minimum k dari pewarnaan-k  pelangi yang digunakan untuk mewarnai graf G dan dinotasikan dengan rc(G). Tujuan dari penelitian ini yaitu untuk menentukan bilangan terhubung pelangi pada graf salju (Sn_m). Metode yang digunakan pada penelitian ini yaitu metode studi literatur dengan prosedur sebagai berikut; menggambar graf salju, mencari pola bilangan terhubung pelangi, dan membuktikan teorema bilangan terhubung pelangi pada graf salju (Sn_m). Sehingga diperoleh rc(Sn_m)=m+1 untuk 3<=m<=7 dan m={9,10} dan rc(Sn_m)=m untuk m=8 dan m>=11.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"2014 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127496327","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}
引用次数: 1
TOPOLOGI DI RUANG METRIK PSEUDO-b_s
Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-07-01 DOI: 10.14710/jfma.v4i1.10386
Zahra Aulia Emeralda, Christiana Rini Indrati
{"title":"TOPOLOGI DI RUANG METRIK PSEUDO-b_s","authors":"Zahra Aulia Emeralda, Christiana Rini Indrati","doi":"10.14710/jfma.v4i1.10386","DOIUrl":"https://doi.org/10.14710/jfma.v4i1.10386","url":null,"abstract":"Dalam tulisan ini dibahas mengenai beberapa sifat metrik pseudo-$b_s$ dan topologi dalam ruang metrik pseudo-$b_s$ di antaranya kekonvergenan-$b_s$ barisan, barisan Cauchy-$b_s$, ruang metrik pseudo-$b_s$ lengkap, serta himpunan tertutup-$b_s$.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130884069","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}
引用次数: 0
LOGISTIC MODEL DEVELOPMENT FOR PREDICTION OF COVID-19 INFECTED INDIVIDUALS: CASE STUDY IN CENTRAL JAVA PROVINCE, INDONESIA 用于预测COVID-19感染个体的Logistic模型开发:印度尼西亚爪哇省中部的案例研究
Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-07-01 DOI: 10.14710/jfma.v4i1.8385
Okky Widya Arditya, W. Widowati, Sutimin Sutimin, R. H. Tjahjana, P. S. Sasongko
{"title":"LOGISTIC MODEL DEVELOPMENT FOR PREDICTION OF COVID-19 INFECTED INDIVIDUALS: CASE STUDY IN CENTRAL JAVA PROVINCE, INDONESIA","authors":"Okky Widya Arditya, W. Widowati, Sutimin Sutimin, R. H. Tjahjana, P. S. Sasongko","doi":"10.14710/jfma.v4i1.8385","DOIUrl":"https://doi.org/10.14710/jfma.v4i1.8385","url":null,"abstract":"In early 2020, covid-19 spread fast in the worldwide and cause the high death. The disease started from the Asian region which resulted in a viral pandemic in 2020. In order to anticipate the increasing of the cases, a strategy is needed to inhibit its transmission.  The mathematical model approach is important tool for predicting of covid-19 spread in populations. In this paper we propose and analyze the dynamical behaviour of a developed logistic model by considering the effect of the contact patterns in reducing the covid-19 spread process.  To verify the developed logistic model, numerical simulation was given with case study of covid-19 spread for patients under supervision in Central Java Province, Indonesia.  Based on simulation results, it was found that physical distancing can reduce the growth of the covid-19 spread for patient under supervision. It can be seen from the number of covid-19 spread for patients under supervision with physical distancing intervention smaller compared to without physical distancing intervention.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126437150","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}
引用次数: 0
DETERMINAN MATRIKS CENTROSYMMETRIC BENTUK KHUSUS ORDO 4×4 BERPANGKAT BILANGAN BULAT POSITIF
Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-07-01 DOI: 10.14710/jfma.v4i1.8921
Ade Novia Rahma, Esty Erizona, Rahmawati Rahmawati
{"title":"DETERMINAN MATRIKS CENTROSYMMETRIC BENTUK KHUSUS ORDO 4×4 BERPANGKAT BILANGAN BULAT POSITIF","authors":"Ade Novia Rahma, Esty Erizona, Rahmawati Rahmawati","doi":"10.14710/jfma.v4i1.8921","DOIUrl":"https://doi.org/10.14710/jfma.v4i1.8921","url":null,"abstract":"Penelitan ini bertujuan untuk menentukan determinan dari suatu matriks centrosymmetric bentuk khusus ordo  berpangkat bilangan bulat positif. Dalam menentukan determinan matriks centrosymmetric bentuk khusus terdapat beberapa langkah yang perlu dikerjakan. Pertama perhatikan bentuk pola matriks centrosymmetric bentuk khusus  sampai  sehingga didapat bentuk umumnya kemudian dibuktikan dengan induksi matematika. Kedua perhatikan bentuk pola determinan matriks centrosymmetric bentuk khusus  sampai  sehingga didapat bentuk umumnya lalu dibuktikan dengan pembuktian langsung. Hasil akhir dalam penelitian ini diperoleh bentuk umum matriks, determinan dari matriks centrosymmetric berpangkat bilangan bulat positif dengan  ganjil dan  genap.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126540038","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}
引用次数: 0
IMPLEMENTASI KRIPTOGRAFI KURVA ELIPTIK ELGAMAL DI LAPANGAN GALOIS PRIMA PADA PROSES ENKRIPSI DAN DEKRIPSI BERBANTUAN SOFTWARE PYTHON
Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-07-01 DOI: 10.14710/jfma.v4i1.9278
Ummu Latifah, P. W. Prasetyo
{"title":"IMPLEMENTASI KRIPTOGRAFI KURVA ELIPTIK ELGAMAL DI LAPANGAN GALOIS PRIMA PADA PROSES ENKRIPSI DAN DEKRIPSI BERBANTUAN SOFTWARE PYTHON","authors":"Ummu Latifah, P. W. Prasetyo","doi":"10.14710/jfma.v4i1.9278","DOIUrl":"https://doi.org/10.14710/jfma.v4i1.9278","url":null,"abstract":"Perkembangan teknologi memberikan dampak terhadap kemajuan di segala bidang kehidupan manusia terutama dalam bidang informasi. Hal ini memberikan dampak positif dan negatif. Salah satu dampak positifnya adalah mudahnya bertukar informasi dari yang bersifat umum atau rahasia melalui internet. Dampak negatifnya adalah data yang bersifat rahasia menjadi kurang aman dan dapat disalahgunakan oleh pihak yang tidak berwenang. Kriptografi kurva eliptik El-Gamal (ECC: Eliptic Curve Cryptosystem) memberikan solusi untuk keamanan suatu informasi. ECC merupakan salah satu metode kriptografi kunci publik yang mempunyai tingkat keamanan tinggi dibandingkan dengan algoritma kunci publik lainnya. Tujuan dari penelitian ini adalah memahami konsep kriptografi kurva eliptik El-Gamal yang akan didefinisikan di Galois field prima. Hasil dari penelitian ini, yaitu penggunaan kurva eliptik El-Gamal di Galois field prima untuk proses pembentukan kunci, proses enkripsi dan proses dekripsi pada suatu data dengan menggunakan Python.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126845960","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}
引用次数: 0
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