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Dynamics of products of nonnegative matrices 非负矩阵积的动力学
Extracta Mathematicae Pub Date : 2020-10-12 DOI: 10.17398/2605-5686.37.2.223
Sachindranath Jayaraman, Y. Prajapaty, S. Sridharan
{"title":"Dynamics of products of nonnegative matrices","authors":"Sachindranath Jayaraman, Y. Prajapaty, S. Sridharan","doi":"10.17398/2605-5686.37.2.223","DOIUrl":"https://doi.org/10.17398/2605-5686.37.2.223","url":null,"abstract":"The aim of this manuscript is to understand the dynamics of products of nonnegative matrices. We extend a well known consequence of the Perron-Frobenius theorem on the periodic points of a nonnegative matrix to products of finitely many nonnegative matrices associated to a word and later to products of nonnegative matrices associated to a word, possibly of infinite length.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42512014","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: 1
Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras homh -pre- jordan代数和homj -树形代数的构造
Extracta Mathematicae Pub Date : 2020-07-02 DOI: 10.17398/2605-5686.38.1.27
T. Chtioui, S. Mabrouk, A. Makhlouf
{"title":"Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras","authors":"T. Chtioui, S. Mabrouk, A. Makhlouf","doi":"10.17398/2605-5686.38.1.27","DOIUrl":"https://doi.org/10.17398/2605-5686.38.1.27","url":null,"abstract":"The aim of this work is to introduce and study the notions of Hom-pre-Jordan algebra and Hom-J-dendriform algebra which generalize Hom-Jordan algebras. Hom-pre-Jordan algebras are regarded as the underlying algebraic structures of the Hom-Jordan algebras behind the Rota-Baxter operators and O-operators introduced in this paper. Hom-pre-Jordan algebras are also analogues of Hom-pre-Lie algebras for Hom-Jordan algebras. The anti-commutator of a Hom-pre-Jordan algebra is a Hom-Jordan algebra and the left multiplication operator gives a representation of a Hom-Jordan algebra. On the other hand, a Hom-J-dendriform algebra is a Hom-Jordan algebraic analogue of a Hom-dendriform algebra such that the anti-commutator of the sum of the two operations is a Hom-pre-Jordan algebra.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42112800","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
Refinements of Kantorovich type, Schwarz and Berezin number inequalities Kantorovich型、Schwarz和Berezin数不等式的改进
Extracta Mathematicae Pub Date : 2020-05-14 DOI: 10.17398/2605-5686.35.1.1
M. Garayev, F. Bouzeffour, M. Gürdal, C. M. Yangoz
{"title":"Refinements of Kantorovich type, Schwarz and Berezin number inequalities","authors":"M. Garayev, F. Bouzeffour, M. Gürdal, C. M. Yangoz","doi":"10.17398/2605-5686.35.1.1","DOIUrl":"https://doi.org/10.17398/2605-5686.35.1.1","url":null,"abstract":"In this article, we use Kantorovich and Kantorovich type inequalities in order to prove some \u0000new Berezin number inequalities. Also, by using a refinement of the classical Schwarz inequality, we \u0000prove Berezin number inequalities for powers of f(A), where A is self-adjoint operator on the Hardy \u0000space H2 \u0000(D) and f is a positive continuous function. Some related questions are also discussed.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46392000","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: 14
On H3 (1) Hankel determinant for certain subclass of analytic functions 关于解析函数的某个子类的H3（1）Hankel行列式
Extracta Mathematicae Pub Date : 2020-05-14 DOI: 10.17398/2605-5686.35.1.35
D. V. Krishna, D. Shalini
{"title":"On H3 (1) Hankel determinant for certain subclass of analytic functions","authors":"D. V. Krishna, D. Shalini","doi":"10.17398/2605-5686.35.1.35","DOIUrl":"https://doi.org/10.17398/2605-5686.35.1.35","url":null,"abstract":"The objective of this paper is to obtain an upper bound to Hankel determinant of third order for any function f, when it belongs to certain subclass of analytic functions, defined on the open unit disc in the complex plane.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46929243","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
Structure and bimodules of simple Hom-alternative algebras 简单Hom替换代数的结构与双模
Extracta Mathematicae Pub Date : 2019-08-23 DOI: 10.17398/2605-5686.36.1.1
Sylvain Attan
{"title":"Structure and bimodules of simple Hom-alternative algebras","authors":"Sylvain Attan","doi":"10.17398/2605-5686.36.1.1","DOIUrl":"https://doi.org/10.17398/2605-5686.36.1.1","url":null,"abstract":"This paper is mainly devoted to a structure study of Hom-alternative algebras. Equivalent conditions for Hom-alternative algebras being solvable, simple and semi-simple are provided. Moreover some results about Hom-alternative bimodule are found.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42653130","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: 2
Generalized representations of 3-Hom-Lie algebras 3-Hom-Lie代数的广义表示
Extracta Mathematicae Pub Date : 2019-05-29 DOI: 10.17398/2605-5686.35.1.99
S. Mabrouk, A. Makhlouf, S. Massoud
{"title":"Generalized representations of 3-Hom-Lie algebras","authors":"S. Mabrouk, A. Makhlouf, S. Massoud","doi":"10.17398/2605-5686.35.1.99","DOIUrl":"https://doi.org/10.17398/2605-5686.35.1.99","url":null,"abstract":"The propose of this paper is to extend generalized representations of 3-Lie algebras to Hom-type algebras. We introduce the concept of generalized representation of multiplicative 3-Hom-Lie algebras, develop the corresponding cohomology theory and study semi-direct products. We provide a key construction, various examples and computation of 2-cocycles of the new cohomology. Also, we give a connection between a split abelian extension of a 3-Hom-Lie algebra and a generalized semidirect product 3-Hom-Lie algebra.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48476603","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: 1
On the projectivity of finitely generated flat modules 关于有限生成平坦模的投影性
Extracta Mathematicae Pub Date : 2017-01-26 DOI: 10.17398/2605-5686.35.1.55
A. Tarizadeh
{"title":"On the projectivity of finitely generated flat modules","authors":"A. Tarizadeh","doi":"10.17398/2605-5686.35.1.55","DOIUrl":"https://doi.org/10.17398/2605-5686.35.1.55","url":null,"abstract":"In this paper, the projectivity of a finitely generated flat module of a commutative ring is studied through its exterior powers and invariant factors and then various new results are obtained. Specially, the related results of Endo, Vasconcelos, Wiegand, Cox-Rush and Puninski-Rothmaler on the projectivity of finitely generated flat modules are generalized.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46289892","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: 3
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