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Left multipliers and commutativity of 3-prime near-rings 三原数近环的左乘数和换元性
Mathematica Pub Date : 2023-11-15 DOI: 10.24193/mathcluj.2023.2.05
A. Boua, B. Davvaz
{"title":"Left multipliers and commutativity of 3-prime near-rings","authors":"A. Boua, B. Davvaz","doi":"10.24193/mathcluj.2023.2.05","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.2.05","url":null,"abstract":"Our objective in this paper is to study the structure of 3-prime near-rings satisfying some algebraic properties.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":"2 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139271205","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
Strong inner and strong reflexive inverses in semiprime rings 半素环中的强内反和强反反函数
Mathematica Pub Date : 2023-11-15 DOI: 10.24193/mathcluj.2023.2.07
Iulia-Elena Chiru
{"title":"Strong inner and strong reflexive inverses in semiprime rings","authors":"Iulia-Elena Chiru","doi":"10.24193/mathcluj.2023.2.07","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.2.07","url":null,"abstract":"Motivated by some recent work on von Neumann regular elements in semiprime rings, we study how strongly regular elements of semiprime rings are related in terms of their sets of strong inner inverses and strong reflexive inverses.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":"37 11-12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139275003","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
Existence and nonexistence of solutions for a p-fractional Kirchhoff equation with critical growth in R^N 具有R^N临界增长的p分数Kirchhoff方程解的存在性与不存在性
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.11
M. Massar
{"title":"Existence and nonexistence of solutions for a p-fractional Kirchhoff equation with critical growth in R^N","authors":"M. Massar","doi":"10.24193/mathcluj.2023.1.11","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.11","url":null,"abstract":"\"This paper deals with a certain p-fractional Kirchhoff equation. By transforming the equation into an equivalent system, we establish the existence of at least one nontrivial solution or two nontrivial solutions without using the well-known Ambrosetti-Rabinowitz (AR) condition. Furthermore, the nonexistence case is also treated. Our result extends and completes the recent works in the literature.\"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45203004","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 approach to multiplication modules via (delta)-small submodules 通过(delta)小子模块进行模块乘法的新方法
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.07
Motahareh Irani, Y. Talebi, Ali Reza Miniri Hamzekolaee
{"title":"A new approach to multiplication modules via (delta)-small submodules","authors":"Motahareh Irani, Y. Talebi, Ali Reza Miniri Hamzekolaee","doi":"10.24193/mathcluj.2023.1.07","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.07","url":null,"abstract":"\"Let R be a commutative ring and M an R-module. In this work we introduce two new generalizations of multiplication modules via delta-small submodules and small submodules of a fixed module. A module M is said to be (delta)-small multiplication provided for every (delta-)small submodule of N of M, there is an ideal I of R such that N=IM. We study some general properties of both delta-small multiplication modules and also small multiplication modules. A counterexample is presented to state this fact that the class of all delta-small multiplication modules lies exactly between the class of multiplication modules and small multiplication modules. We show that any direct summand of a (delta)-small multiplication module inherits the property.\"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45585109","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
theta*-precontinuty 很高* -precontinuty
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.04
C. Boonpok
{"title":"theta*-precontinuty","authors":"C. Boonpok","doi":"10.24193/mathcluj.2023.1.04","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.04","url":null,"abstract":"\"This paper is concerned with the notion of theta*-precontinuous functions. Some characterizations of theta*-precontinuous functions are investigated. Moreover, the relationships between theta*-precontinuous functions and weakly *-precontinuous functions are discussed. \"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43145774","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
Two dimensional Gaussian Pell sequences 二维高斯Pell序列
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.15
S. Uygun
{"title":"Two dimensional Gaussian Pell sequences","authors":"S. Uygun","doi":"10.24193/mathcluj.2023.1.15","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.15","url":null,"abstract":"\"In this study firstly we carried out the Pell sequence to the complex plane, then we defined the sequence into two dimensions. We called this generalized sequence two dimensional gaussian Pell sequence. We investigated the Binet formula, generating function, sum formula, explicit closed formula, and some relations between Pell sequences. Also, we get a matrix equality for obtaining elements of the two-dimensional gaussian Pell sequence. \"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42770670","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 results on derivations and generalized derivations in rings 关于环中导子和广义导子的一些结果
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.10
A. Mamouni, L. Oukhtite, M. Zerra
{"title":"Some results on derivations and generalized derivations in rings","authors":"A. Mamouni, L. Oukhtite, M. Zerra","doi":"10.24193/mathcluj.2023.1.10","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.10","url":null,"abstract":"The purpose of this paper is to study derivations and generalized derivations in prime rings satisfying certain differential identities. Some well-known results characterizing commutativity of prime rings have been generalized. Moreover, we provide examples to show that the assumed restrictions cannot be relaxed.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43767549","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
On the recurrences of the Jacobsthal sequence 关于Jacobthal序列的递归性
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.06
Orhan Dişkaya, H. Menken
{"title":"On the recurrences of the Jacobsthal sequence","authors":"Orhan Dişkaya, H. Menken","doi":"10.24193/mathcluj.2023.1.06","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.06","url":null,"abstract":"In the present work, two new recurrences of the Jacobsthal sequence are defined. Some identities of these sequences which we call the Jacobsthal array is examined. Also, the generating and series functions of the Jacobsthal array are obtained.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47681087","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
Multiple solutions to p-Kirchhoff type problems involving critical Sobolev exponent in R^N R^N中涉及临界Sobolev指数的p-Kirchhoff型问题的多重解
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.08
Rachida Kaid, A. Matallah, Sofiane Messirdi
{"title":"Multiple solutions to p-Kirchhoff type problems involving critical Sobolev exponent in R^N","authors":"Rachida Kaid, A. Matallah, Sofiane Messirdi","doi":"10.24193/mathcluj.2023.1.08","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.08","url":null,"abstract":"\"In this paper, we use variational methods to study the existence and multiplicity of non negative solutions for a p-Kirchhoff equation involving critical Sobolev exponent.\"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44432151","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
The absolute Frattini automorphisms 绝对的弗拉蒂尼自同构
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.14
Parisa Seifizadeh, Amirali Farokhniaee
{"title":"The absolute Frattini automorphisms","authors":"Parisa Seifizadeh, Amirali Farokhniaee","doi":"10.24193/mathcluj.2023.1.14","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.14","url":null,"abstract":"Let G be a finite non-abelian p-group, where p is a prime number, and Aut(G) be the group of all automorphisms of $G$. An automorphism alpha of $G$ is called absolute central automorphism if, x^{-1}alpha(x) lies in L(G), where L(G) is the absolute center of G. In addition, alpha is an absolute Frattini automorphism if x^{-1}alpha(x) is in Phi(L(G)), where Phi(L(G)) is the Frattini subgroup of the absolute center of G, and let LF(G) denote the group of all such automorphisms of G. Also, we denote by C_{LF(G)}(Z(G)) and C_{LA(G)}(Z(G)), respectively, the group of all absolute Frattini automorphisms and the group of all absolute central automorphisms of G, fixing elementwise the center Z(G) of G . We give necessary and sufficient conditions on a finite non-abelian p-group G of class two such that C_{LF(G)}(Z(G))=C_{LA(G)}(Z(G)). Moreover, we investigate the conditions under which LF(G) is a torsion-free abelian group.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41344045","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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