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Modular Hadamard, Riemann-Liouville and Weyl fractional integrals 模块化哈达玛积分、黎曼-刘维尔积分和韦尔分数积分
Mathematica Pub Date : 2023-11-15 DOI: 10.24193/mathcluj.2023.2.12
Kwok-Pun Ho
{"title":"Modular Hadamard, Riemann-Liouville and Weyl fractional integrals","authors":"Kwok-Pun Ho","doi":"10.24193/mathcluj.2023.2.12","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.2.12","url":null,"abstract":"This paper establishes the modular inequalities for the Hadamard fractional integrals, the Riemann-Liouville fractional integrals and the Weyl fractional integrals.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139275604","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
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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
On a generalization of graded 2-absorbing submodules 关于梯度2吸收子模的推广
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.03
K. Al-Zoubi, Shatha Alghueiri
{"title":"On a generalization of graded 2-absorbing submodules","authors":"K. Al-Zoubi, Shatha Alghueiri","doi":"10.24193/mathcluj.2023.1.03","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.03","url":null,"abstract":"\"Let G be a group with identity e. Let R be a G-graded commutative ring with nonzero identity and M a graded R-module. In this paper, we introduce the concept of graded G2-absorbing submodule as a new generalization of a graded 2-absorbing submodule on the one hand and a generalization of a graded primary submodule on other hand. We give a number of results concerning these classes of graded submodules and their homogeneous components. In fact, our objective is to investigate graded G2-absorbing submodules and examine in particular when graded submodules are graded G2-absorbing submodules. For example, we give a characterization of graded G2-absorbing submodules. We also study the behaviour of graded G2-absorbing submodules under graded homomorphisms and under localization.\"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47728271","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":null,"pages":null},"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":null,"pages":null},"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
Decay results for a viscoelastic wave equation with distributed delay in boundary feedback 边界反馈中具有分布时滞的粘弹性波动方程的衰变结果
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.05
A. Choucha, D. Ouchenane
{"title":"Decay results for a viscoelastic wave equation with distributed delay in boundary feedback","authors":"A. Choucha, D. Ouchenane","doi":"10.24193/mathcluj.2023.1.05","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.05","url":null,"abstract":"\"In this work, a nonlinear viscoelastic wave equation is studied. By supposing distributed delay feedback acting on the boundary, we establish the general decay rate under suitable hypothesis.\"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45771067","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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