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Asian-European Journal of Mathematics最新文献

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Some results on the complement of the dot product graph of a commutative ring 交换环点积图补的一些结果
Asian-European Journal of Mathematics Pub Date : 2023-10-20 DOI: 10.1142/s1793557123502157
S. Visweswaran
{"title":"Some results on the complement of the dot product graph of a commutative ring","authors":"S. Visweswaran","doi":"10.1142/s1793557123502157","DOIUrl":"https://doi.org/10.1142/s1793557123502157","url":null,"abstract":"Let [Formula: see text] be a nonzero commutative ring with identity. Let [Formula: see text] be a positive integer. Let [Formula: see text] ([Formula: see text] times). The total dot product graph of [Formula: see text] denoted by [Formula: see text] is an undirected graph with vertex set which equals [Formula: see text] and distinct vertices [Formula: see text] and [Formula: see text] are adjacent if and only if [Formula: see text], where [Formula: see text] is the normal dot product of [Formula: see text] and [Formula: see text]. Let [Formula: see text] denote the set of all zero-divisors of [Formula: see text] and let us denote [Formula: see text] by [Formula: see text]. The zero-divisor dot product graph of [Formula: see text], denoted by [Formula: see text] is the subgraph of [Formula: see text] induced by [Formula: see text]. The graph [Formula: see text] (respectively, [Formula: see text]) was introduced and investigated by Badawi [Commun. Algebra 43(1) (2015) 43–50]. In this paper, we characterize [Formula: see text] such that [Formula: see text] (respectively, [Formula: see text]) is connected and determine the diameter and the radius of [Formula: see text] (respectively, [Formula: see text]) whenever it is connected. Moreover, if [Formula: see text] (respectively, [Formula: see text]) is connected, then we characterize [Formula: see text] such that [Formula: see text] (respectively, [Formula: see text]) admits a cut vertex.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135514409","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
Construction of Linear Codes from the Unit Graph G(ℤn) 用单位图G(n)构造线性码
Asian-European Journal of Mathematics Pub Date : 2023-10-17 DOI: 10.1142/s1793557123502133
Rupali S. Jain, B. Surendranath Reddy, Wajid M. Shaikh
{"title":"Construction of Linear Codes from the Unit Graph <i>G</i>(ℤ<sub><i>n</i></sub>)","authors":"Rupali S. Jain, B. Surendranath Reddy, Wajid M. Shaikh","doi":"10.1142/s1793557123502133","DOIUrl":"https://doi.org/10.1142/s1793557123502133","url":null,"abstract":"In this paper, we consider the unit graph [Formula: see text], where [Formula: see text] and [Formula: see text] are distinct primes. For any prime [Formula: see text], we construct [Formula: see text]-ary linear codes from the incidence matrix of the unit graph [Formula: see text] with their parameters. We also prove that the dual of the constructed codes have minimum distance either three or four. Lastly, we stated two conjectures on diameter of unit graph [Formula: see text] and linear codes constructed from the incidence matrix of the unit graph [Formula: see text] for any integer [Formula: see text].","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135945129","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
Discrete majorization type inequalities, comparison of classic results with a recent result 离散多数化型不等式，经典结果与最新结果的比较
Asian-European Journal of Mathematics Pub Date : 2023-10-14 DOI: 10.1142/s1793557123502091
Laszlo Horvath
{"title":"Discrete majorization type inequalities, comparison of classic results with a recent result","authors":"Laszlo Horvath","doi":"10.1142/s1793557123502091","DOIUrl":"https://doi.org/10.1142/s1793557123502091","url":null,"abstract":"In this paper, we examine the relationship between a recent new discrete majorization-type inequality and classical majorization-type inequalities. The multiplicative analog of the studied new inequality is also given, which is a wide generalization of Weyl’s inequality. As an application, we give a parametric refinement of Popoviciu’s version of the Petrović inequality.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135767368","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 smoothing function for solving absolute value equations 求解绝对值方程的新平滑函数
Asian-European Journal of Mathematics Pub Date : 2023-10-13 DOI: 10.1142/s1793557123502261
Randa Chalekh, El Amir Djeffal
{"title":"New smoothing function for solving absolute value equations","authors":"Randa Chalekh, El Amir Djeffal","doi":"10.1142/s1793557123502261","DOIUrl":"https://doi.org/10.1142/s1793557123502261","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135853583","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
Inverse scattering problem for the tensor fields in a coordinate-free representation 无坐标表示张量场的逆散射问题
Asian-European Journal of Mathematics Pub Date : 2023-10-13 DOI: 10.1142/s1793557123502297
Alexander Balandin
{"title":"Inverse scattering problem for the tensor fields in a coordinate-free representation","authors":"Alexander Balandin","doi":"10.1142/s1793557123502297","DOIUrl":"https://doi.org/10.1142/s1793557123502297","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135854934","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
Exponential stability of Lord Shulman thermoelastic system with porous damping and distributed delay term 具有多孔阻尼和分布延迟项的Lord Shulman热弹性系统的指数稳定性
Asian-European Journal of Mathematics Pub Date : 2023-10-13 DOI: 10.1142/s179355712350225x
Lamine Bouzettouta, Chaima Boulkheloua, Houssem Eddine Khochemane, Widad Karek
{"title":"Exponential stability of Lord Shulman thermoelastic system with porous damping and distributed delay term","authors":"Lamine Bouzettouta, Chaima Boulkheloua, Houssem Eddine Khochemane, Widad Karek","doi":"10.1142/s179355712350225x","DOIUrl":"https://doi.org/10.1142/s179355712350225x","url":null,"abstract":". In this paper, we consider a one-dimensional Lord-Shulman ther-moelastic system [4] with porous damping and distributed delay term acting on the porous equation. Under suitable assumptions on the weight of distributed delay, we establish the well-posedness of the system by using semigroup theory and we show that the dissipations due to thermal effects with porous damping are strong enough to stabilise the system exponentially, independently of the wave speeds of the system.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135854424","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
Wavelet sets, scaling sets and generalized scaling sets on Vilenkin group Vilenkin群上的小波集、标度集和广义标度集
Asian-European Journal of Mathematics Pub Date : 2023-10-13 DOI: 10.1142/s1793557123502285
Prasadini Mahapatra, Divya Singh, Arpit Chandan Swain
{"title":"Wavelet sets, scaling sets and generalized scaling sets on Vilenkin group","authors":"Prasadini Mahapatra, Divya Singh, Arpit Chandan Swain","doi":"10.1142/s1793557123502285","DOIUrl":"https://doi.org/10.1142/s1793557123502285","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135853411","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
Applications of deferred lebesgue product measurable convergence to approximation theorems 递延勒贝格积可测收敛在近似定理中的应用
Asian-European Journal of Mathematics Pub Date : 2023-10-06 DOI: 10.1142/s1793557123502108
Devia Narrania, Kuldip Raj
{"title":"Applications of deferred lebesgue product measurable convergence to approximation theorems","authors":"Devia Narrania, Kuldip Raj","doi":"10.1142/s1793557123502108","DOIUrl":"https://doi.org/10.1142/s1793557123502108","url":null,"abstract":"In this paper, we introduce the notions of product measurable convergence, deferred Cesàro statistical product measurable convergence and deferred Cesàro statistical Lebesgue product measurable convergence for sequences of measurable functions on product measure spaces. We establish some fundamental relations among these convergences and also give several explanatory examples in support of our definitions and results. Finally, as an application, we prove a new version of Korovkin-type approximation theorems for sequences of measurable functions on product measure spaces by using the notion of deferred Cesàro statistical Lebesgue product measurable convergence.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135302742","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 Normal Complement Problem of Finite Group Algebra 有限群代数的正规补问题
Asian-European Journal of Mathematics Pub Date : 2023-10-05 DOI: 10.1142/s1793557123502029
Diksha Upadhyay, Harish Chandra, Suchi Bhatt
{"title":"On the Normal Complement Problem of Finite Group Algebra","authors":"Diksha Upadhyay, Harish Chandra, Suchi Bhatt","doi":"10.1142/s1793557123502029","DOIUrl":"https://doi.org/10.1142/s1793557123502029","url":null,"abstract":"Let [Formula: see text] be a group, [Formula: see text] be a finite field with a positive characteristic [Formula: see text], then [Formula: see text] is the group algebra of a group [Formula: see text] over [Formula: see text] with a positive characteristic [Formula: see text]. In this paper, the normal complement problem on semisimple group algebra [Formula: see text] is examined. The normal complement problem of groups of order up to 16 in their corresponding unit groups [Formula: see text] has already been discussed. We have proved that up to isomorphism all the three non-abelian groups of order 18 and up to isomorphism all three non-abelian groups of order 20 do not have normal complement in their corresponding unit groups [Formula: see text].","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134948044","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
Wiener Index and Graph Energy of Zero Divisor Graph for Commutative Rings 交换环上零因子图的Wiener指数与图能
Asian-European Journal of Mathematics Pub Date : 2023-10-04 DOI: 10.1142/s179355712350211x
Clement Johnson Rayer, Ravi Sankar Jeyaraj
{"title":"Wiener Index and Graph Energy of Zero Divisor Graph for Commutative Rings","authors":"Clement Johnson Rayer, Ravi Sankar Jeyaraj","doi":"10.1142/s179355712350211x","DOIUrl":"https://doi.org/10.1142/s179355712350211x","url":null,"abstract":"Let [Formula: see text] be commutative ring and [Formula: see text] be the set of all non-zero zero divisors of [Formula: see text]. Then [Formula: see text] is said to be the zero divisor graph if and only if [Formula: see text] where [Formula: see text] and [Formula: see text]. Graph energy [Formula: see text] is defined as the sum of the absolute eigenvalues of the adjacency matrix [Formula: see text], then [Formula: see text]. Wiener index [Formula: see text] is defined as the sum of all distance between pairs of vertices [Formula: see text] and [Formula: see text], then [Formula: see text]. In this paper, we compute the graph energy from the adjacency matrix of the zero divisor graph and the Wiener index from the zero divisor graph associated with commutative rings.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135548632","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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