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The Source of Primeness of Rings 指环素数的来源
Journal of New Theory Pub Date : 2022-12-31 DOI: 10.53570/jnt.1189651
Didem Yeşil, Didem KARALARLIOĞLU CAMCI
{"title":"The Source of Primeness of Rings","authors":"Didem Yeşil, Didem KARALARLIOĞLU CAMCI","doi":"10.53570/jnt.1189651","DOIUrl":"https://doi.org/10.53570/jnt.1189651","url":null,"abstract":"In this study, we define a new concept, i.e., source of primeness of a ring $R$, as $P_{R} := bigcap_{ain R} S_{R}^{a}$ such that $S_{R}^{a}:={bin R mid aRb=(0)}$. We then examine some basic properties of $P_{R}$ related to the ring’s idempotent elements, nilpotent elements, zero divisor elements, and identity elements. Finally, we discuss the need for further research.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130857436","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
Ces`aro Summability Involving $delta$-Quasi-Monotone and Almost Increasing Sequences $ δ $-拟单调和几乎递增序列的Ces o可和性
Journal of New Theory Pub Date : 2022-12-31 DOI: 10.53570/jnt.1185603
B. Kartal
{"title":"Ces`aro Summability Involving $delta$-Quasi-Monotone and Almost Increasing Sequences","authors":"B. Kartal","doi":"10.53570/jnt.1185603","DOIUrl":"https://doi.org/10.53570/jnt.1185603","url":null,"abstract":"This paper generalises a well-known theorem on ${mid{C},rhomid}_kappa$ summability to the $varphi-{mid{C},rho;betamid}_kappa$ summability of an infinite series using an almost increasing and a $delta$-quasi monotone sequence.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123204476","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
A New Perspective on $k$-Ideals of a Semiring via Soft Intersection Ideals 从软交理想看半环的$k$-理想
Journal of New Theory Pub Date : 2022-12-31 DOI: 10.53570/jnt.1145507
Ülkü Develi̇, F. Çitak
{"title":"A New Perspective on $k$-Ideals of a Semiring via Soft Intersection Ideals","authors":"Ülkü Develi̇, F. Çitak","doi":"10.53570/jnt.1145507","DOIUrl":"https://doi.org/10.53570/jnt.1145507","url":null,"abstract":"In recent years, soft sets have become popular in various fields. For this reason, many studies have been carried out in the field of algebra. In this study, soft intersection k-ideals are defined with the help of a semiring, and some algebraic structures are examined. Moreover, the quotient rings are defined by k-semiring. Isomorphism theorems are examined by quotient rings. Finally, some algebraic properties are investigated by defining soft intersection maximal k-ideals.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"369 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116119517","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
Bivariate Variations of Fibonacci and Narayana Sequences and Universal Codes Fibonacci和Narayana序列的二元变异与通用码
Journal of New Theory Pub Date : 2022-12-31 DOI: 10.53570/jnt.1202341
Cagla Celemoglu
{"title":"Bivariate Variations of Fibonacci and Narayana Sequences and Universal Codes","authors":"Cagla Celemoglu","doi":"10.53570/jnt.1202341","DOIUrl":"https://doi.org/10.53570/jnt.1202341","url":null,"abstract":"In this study, we worked on the third-order bivariate variant of the Fibonacci universal code and the second-order bivariate variant of the Narayana universal code, depending on two negative integer variables u and v. We then showed in tables these codes for 1≤k≤100, u=-1,-2,…,-20, and v=-2,-3,…,-21 (u and v are consecutive, v","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131848974","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
Kibria-Lukman Estimator for General Linear Regression Model with AR(2) Errors: A Comparative Study with Monte Carlo Simulation 具有AR(2)误差的一般线性回归模型的Kibria-Lukman估计:与Monte Carlo模拟的比较研究
Journal of New Theory Pub Date : 2022-12-31 DOI: 10.53570/jnt.1139885
T. SÖKÜT AÇAR
{"title":"Kibria-Lukman Estimator for General Linear Regression Model with AR(2) Errors: A Comparative Study with Monte Carlo Simulation","authors":"T. SÖKÜT AÇAR","doi":"10.53570/jnt.1139885","DOIUrl":"https://doi.org/10.53570/jnt.1139885","url":null,"abstract":"The sensitivity of the least-squares estimation in a regression model is impacted by multicollinearity and autocorrelation problems. To deal with the multicollinearity, Ridge, Liu, and Ridge-type biased estimators have been presented in the statistical literature. The recently proposed Kibria-Lukman estimator is one of the Ridge-type estimators. The literature has compared the Kibria-Lukman estimator with the others using the mean square error criterion for the linear regression model. It was achieved in a study conducted on the Kibria-Lukman estimator's performance under the first-order autoregressive erroneous autocorrelation. When there is an autocorrelation problem with the second-order, evaluating the performance of the Kibria-Lukman estimator according to the mean square error criterion makes this paper original. The scalar mean square error of the Kibria-Lukman estimator under the second-order autoregressive error structure was evaluated using a Monte Carlo simulation and two real examples, and compared with the Generalized Least-squares, Ridge, and Liu estimators. \u0000The findings revealed that when the variance of the model was small, the mean square error of the Kibria-Lukman estimator gave very close values with the popular biased estimators. As the model variance grew, Kibria-Lukman did not give fairly similar values with popular biased estimators as in the model with small variance. However, according to the mean square error criterion the Kibria-Lukman estimator outperformed the Generalized Least-Squares estimator in all possible cases.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133441297","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
Soft $A$-Metric Spaces 软$A$-度量空间
Journal of New Theory Pub Date : 2022-12-31 DOI: 10.53570/jnt.1177525
Hande Poşul, Çiğdem Gündüz, S. Kütükcü
{"title":"Soft $A$-Metric Spaces","authors":"Hande Poşul, Çiğdem Gündüz, S. Kütükcü","doi":"10.53570/jnt.1177525","DOIUrl":"https://doi.org/10.53570/jnt.1177525","url":null,"abstract":"This paper draws on the theory of soft $A$-metric space using soft points of soft sets and the concept of $A$-metric spaces. This new space has great importance as a new type of generalisation of metric spaces since it includes various known metric spaces. In this paper, we introduce the concept of soft $A$-metric space and examine the relations with known spaces. Then, we examine various basic properties of these spaces: soft Hausdorffness, a soft Cauchy sequence, and soft convergence.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124583640","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
Vertices of Suborbital Graph $F_{u,N}$ under Lorentz Matrix Multiplication Lorentz矩阵乘法下亚轨道图$F_{u,N}$的顶点
Journal of New Theory Pub Date : 2022-12-31 DOI: 10.53570/jnt.1161715
İbrahim Gökcan, A. Deger
{"title":"Vertices of Suborbital Graph $F_{u,N}$ under Lorentz Matrix Multiplication","authors":"İbrahim Gökcan, A. Deger","doi":"10.53570/jnt.1161715","DOIUrl":"https://doi.org/10.53570/jnt.1161715","url":null,"abstract":"In this study, suborbital graphs, $G_{u,N}$ and $F_{u,N}$ are examined. Modular group $Gamma$ and its act on $widehat{mathbb{Q}}$ are studied. Lorentz matrix that gives the vertices obtained under the classical matrix multiplication in the suborbital graph $F_{u,N}$ is analysed with the Lorentz matrix multiplication. Lorentz matrix written as Möbius transform is normalized and the type of the transform is researched. Moreover, a different element of Modular group $Gamma$ is scrutinized. The vertices on the path starting with $infty$ are obtained under this element and the Lorentz matrix multiplication. For this path, it is shown that the vertices obtained in $F_{u,N}$ under the Lorentz matrix multiplication with the Lorentz matrix satisfied the farthest vertex condition for the previous vertex.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"242 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116874375","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
New Inequalities for Hyperbolic Lucas Functions 双曲Lucas函数的新不等式
Journal of New Theory Pub Date : 2022-12-31 DOI: 10.53570/jnt.1162421
Ahmad Issa, Seyran İbrahi̇mov
{"title":"New Inequalities for Hyperbolic Lucas Functions","authors":"Ahmad Issa, Seyran İbrahi̇mov","doi":"10.53570/jnt.1162421","DOIUrl":"https://doi.org/10.53570/jnt.1162421","url":null,"abstract":"This article introduces the classic Wilker’s, Wu-Srivastava, Hugyen’s, Cusa-Hugyen’s, and Wilker’s-Anglesio type inequalities for hyperbolic Lucas functions with some new refinements.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126703325","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
Existence, Uniqueness, and Stability of Solutions to Variable Fractional Order Boundary Value Problems 变分数阶边值问题解的存在性、唯一性和稳定性
Journal of New Theory Pub Date : 2022-12-31 DOI: 10.53570/jnt.1182795
M. S. Souid, Z. Bouazza, A. Yakar
{"title":"Existence, Uniqueness, and Stability of Solutions to Variable Fractional Order Boundary Value Problems","authors":"M. S. Souid, Z. Bouazza, A. Yakar","doi":"10.53570/jnt.1182795","DOIUrl":"https://doi.org/10.53570/jnt.1182795","url":null,"abstract":"This paper investigates the sufficient conditions for the existence and uniqueness of a class of Riemann-Liouville fractional differential equations of variable order with fractional boundary conditions. The problem is converted into differential equations of constant orders by combining the concepts of generalized intervals and piecewise constant functions. We derive the required conditions for ensuring the uniqueness of the problem in order to utilize the Banach fixed point theorem. The stability of the obtained solution in the Ulam-Hyers-Rassias (UHR) sense is also investigated, and we finally provide an illustrative example.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"206 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115309238","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
A Novel Operator to Solve Decision-Making Problems Under Trapezoidal Fuzzy Multi Numbers and Its Application 求解梯形模糊多数决策问题的一种新算子及其应用
Journal of New Theory Pub Date : 2022-09-30 DOI: 10.53570/jnt.1153262
Davut Kesen, I. Deli
{"title":"A Novel Operator to Solve Decision-Making Problems Under Trapezoidal Fuzzy Multi Numbers and Its Application","authors":"Davut Kesen, I. Deli","doi":"10.53570/jnt.1153262","DOIUrl":"https://doi.org/10.53570/jnt.1153262","url":null,"abstract":"This article investigates solutions to multiple attribute decision-making (MADM) problems in which the attribute values take the form of trapezoidal fuzzy multi-numbers. To do this, this paper proposes a kind of mean aggregation operator called the Bonferroni harmonic mean operator for aggregating trapezoidal fuzzy information. Then, an approach that is a solution algorithm has been developed to find a solution to multi-attribute decision-making problems. Afterwards, an illustrative example has been given to verify the developed approach and to show its usefulness and efficiency. Finally, a comparison table has been presented to compare the proposed method with some existing methods.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123201402","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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