Pub Date : 2023-11-15DOI: 10.24193/mathcluj.2023.2.12
Kwok-Pun Ho
This paper establishes the modular inequalities for the Hadamard fractional integrals, the Riemann-Liouville fractional integrals and the Weyl fractional integrals.
本文建立了哈达玛分式积分、黎曼-刘维尔分式积分和韦尔分式积分的模不等式。
{"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}
Pub Date : 2023-11-15DOI: 10.24193/mathcluj.2023.2.05
A. Boua, B. Davvaz
Our objective in this paper is to study the structure of 3-prime near-rings satisfying some algebraic properties.
本文的目的是研究满足某些代数性质的 3 素近环结构。
{"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}
Pub Date : 2023-11-15DOI: 10.24193/mathcluj.2023.2.07
Iulia-Elena Chiru
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.
{"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}
Pub Date : 2023-06-15DOI: 10.24193/mathcluj.2023.1.11
M. Massar
"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."
{"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}
Pub Date : 2023-06-15DOI: 10.24193/mathcluj.2023.1.07
Motahareh Irani, Y. Talebi, Ali Reza Miniri Hamzekolaee
"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."
{"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}
Pub Date : 2023-06-15DOI: 10.24193/mathcluj.2023.1.04
C. Boonpok
"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. "
{"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}
Pub Date : 2023-06-15DOI: 10.24193/mathcluj.2023.1.03
K. Al-Zoubi, Shatha Alghueiri
"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."
{"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}
Pub Date : 2023-06-15DOI: 10.24193/mathcluj.2023.1.15
S. Uygun
"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. "
{"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}
Pub Date : 2023-06-15DOI: 10.24193/mathcluj.2023.1.10
A. Mamouni, L. Oukhtite, M. Zerra
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.
{"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}
Pub Date : 2023-06-15DOI: 10.24193/mathcluj.2023.1.05
A. Choucha, D. Ouchenane
"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."
{"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}
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