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On prime Banach algebras with continuous derivations 具有连续导数的素数Banach代数
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.13
Mohamed Moumen, L. Taoufiq, A. Boua
{"title":"On prime Banach algebras with continuous derivations","authors":"Mohamed Moumen, L. Taoufiq, A. Boua","doi":"10.24193/mathcluj.2023.1.13","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.13","url":null,"abstract":"Let A be a Banach algebra over R or C with center Z(A). In this paper, we show that, if a non-injective continuous derivation of A satisfies some local differential identities, then A must be commutative. We give several applications, and we provide examples to show that some hypotheses of our theorems are necessary.","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":"42097924","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 Galois group of X^{p^2}+aX+a X^ (p^2) +aX+a的伽罗瓦群
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.12
Soufyane Mokhtari, Boualem Benseba
{"title":"The Galois group of X^{p^2}+aX+a","authors":"Soufyane Mokhtari, Boualem Benseba","doi":"10.24193/mathcluj.2023.1.12","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.12","url":null,"abstract":"Let p be an odd prime number, and a be an integer divisible by p exactly once. We prove that the Galois group G of the trinomial X^{p^{2}}+aX+a over the field Q of rational number is either the full symmetric group S_{p^{2}} or G lies between AGL(1,p^{2}) and AGL(2,p)$. Furthermore, we establish conditions when G is S_{p^{2}}.","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":"42146858","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":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":"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":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":"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":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":"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
On h-local functions in deal topological spaces 关于交易拓扑空间中的h-局部函数
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.01
A. Acikgoz, T. Noiri, Busra Golpinar
{"title":"On h-local functions in deal topological spaces","authors":"A. Acikgoz, T. Noiri, Busra Golpinar","doi":"10.24193/mathcluj.2023.1.01","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.01","url":null,"abstract":"In this research we introduce h-local functions by using h-open sets in an ideal topological space (X, tau, I). Some properties and characterizations of the h-local functions are studied. Also, we introduce and research the notions of I_{{s^*}g}-h-closed and I_{g}-h-closed sets in an ideal topological space. Additionally, Cl^*_h is defined and its properties are examined.","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":"69192529","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 solutions of quartic Diophantine equations 关于四次丢番图方程的解
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.02
Mokhtar Ahmadi, A. S. Janfada, K. Nabardi
{"title":"On the solutions of quartic Diophantine equations","authors":"Mokhtar Ahmadi, A. S. Janfada, K. Nabardi","doi":"10.24193/mathcluj.2023.1.02","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.02","url":null,"abstract":"In this article, first, using the elliptic curve method, it is proved that the quartic Diophantine equations x^4-y^4=k(t^lambda-u^4{+-} v^4) for positive even lambda and integers k and t has infinitely many non-trivial rational solutions. Then, by direct ways, parametric solutions for equations x^4-y^4=k(t^3{+-} u^4-v^4) are found.","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":"41324498","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 combinatorial nature of tree representations of Euclidean quivers 欧几里得抖动树表示的组合性质
Mathematica Pub Date : 2023-06-15 DOI: 10.24193/mathcluj.2023.1.09
A. Lörinczi
{"title":"On the combinatorial nature of tree representations of Euclidean quivers","authors":"A. Lörinczi","doi":"10.24193/mathcluj.2023.1.09","DOIUrl":"https://doi.org/10.24193/mathcluj.2023.1.09","url":null,"abstract":"We verify computationally a conjecture on the field independence of tree representations of Euclidean quivers, with dimension vector bounded by the minimal radical vector of the quiver. This includes a large class of exceptional representations, in particular all the regular non-homogeneous exceptionals. In addition we also present some thought-provoking findings, which further confirms the combinatorial nature of the category of representations of tame quivers.","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":"48787029","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 quantum inequalities of Hermite-Hadamard type via Green function 基于Green函数的新的Hermite-Hadamard型量子不等式
Mathematica Pub Date : 2022-12-15 DOI: 10.24193/mathcluj.2022.2.08
Sundas Khan, H. Budak, Yuming Chu
{"title":"New quantum inequalities of Hermite-Hadamard type via Green function","authors":"Sundas Khan, H. Budak, Yuming Chu","doi":"10.24193/mathcluj.2022.2.08","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.08","url":null,"abstract":"In this study, the Hermite-Hadamard inequality for q^{kappa_2}-integrals is demonstrated by a new method called the Green Function Technique. For this purpose, we first obtain certain identities. Then, by using these identities, we establish many new inequalities for functions whose second derivative is convex, monotone and concave in absolute value.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48916087","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
Strongly deferred almost convergence and deferred almost statistical convergence 强延迟几乎收敛与延迟几乎统计收敛
Mathematica Pub Date : 2022-12-15 DOI: 10.24193/mathcluj.2022.2.01
Meryem Ece Alkan, F. Nuray
{"title":"Strongly deferred almost convergence and deferred almost statistical convergence","authors":"Meryem Ece Alkan, F. Nuray","doi":"10.24193/mathcluj.2022.2.01","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.01","url":null,"abstract":"This paper introduces the concepts of deferred almost convergence, strongly deferred almost convergence and deferred almost statistical convergence, and investigates the relationship between these concepts. Also, it gives the notions of asymptotical deferred almost equivalence and asymptotical deferred almost statistical equivalence.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44164116","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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