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Armenian Journal of Mathematics最新文献

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Groups whose derived subgroup is not supplemented by any proper subgroup 其派生子群没有由任何适当子群补充的群
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-07-08 DOI: 10.52737/18291163-2022.14.10-1-13
Shiv Narain, Sunil Kumar, Gaurav Mittal, Surinder Kumar
{"title":"Groups whose derived subgroup is not supplemented by any proper subgroup","authors":"Shiv Narain, Sunil Kumar, Gaurav Mittal, Surinder Kumar","doi":"10.52737/18291163-2022.14.10-1-13","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.10-1-13","url":null,"abstract":"In this paper, we introduce two new classes of groups that are described as weakly nilpotent and weakly solvable groups. A group G is weakly nilpotent if its derived subgroup does not have a supplement except G and a group G is weakly solvable if its derived subgroup does not have a normal supplement except G. We present some examples and counter-examples for these groups and characterize a finitely generated weakly nilpotent group. Moreover, we characterize the nilpotent and solvable groups in terms of weakly nilpotent and weakly solvable groups. Finally, we prove that if F is a free group of rank n such that every normal subgroup of F has rank n, then F is weakly solvable.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44958535","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 generalization of connectedness via ideals 理想连通性的一个推广
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-05-13 DOI: 10.52737/18291163-2022.14.7-1-18
Raúl Pachón
{"title":"A generalization of connectedness via ideals","authors":"Raúl Pachón","doi":"10.52737/18291163-2022.14.7-1-18","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.7-1-18","url":null,"abstract":"In this paper, we define and study the ⋄-connected spaces as a generalization of the connectedness, and thus of the Ekici-Noiri and Modak-Noiri notions, through ideals.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46598300","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 invertibility of one integral operator 关于一个积分算子的可逆性
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-04-30 DOI: 10.52737/18291163-2022.14.6-1-10
Grigor Kirakosyan
{"title":"On the invertibility of one integral operator","authors":"Grigor Kirakosyan","doi":"10.52737/18291163-2022.14.6-1-10","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.6-1-10","url":null,"abstract":"The present paper considers an integral operator defined on the entire real axis, which differs from the Hilbert transform with terms where kernels are constructed using integral exponential functions. The considered operator has similar properties with respect to the Hilbert transform. The form of the inverse operator is obtained.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48344289","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 Tauberian theorems for statistical Cesàro summability of a function of three variables over a locally convex space 局部凸空间上三元函数统计Cesàro可和性的新Tauberian定理
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-04-01 DOI: 10.52737/18291163-2022.14.5-1-15
Carlos Granados, A. Das
{"title":"New Tauberian theorems for statistical Cesàro summability of a function of three variables over a locally convex space","authors":"Carlos Granados, A. Das","doi":"10.52737/18291163-2022.14.5-1-15","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.5-1-15","url":null,"abstract":"In this paper, we prove two new Tauberian theorems via statistical Cesàro summability mean of a continuous function of three variables by using oscillating behavior and De la Vallée Poussin means of a triple integral over a locally convex space. Moreover, some remarks and corollaries are provided here to support our results.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49121120","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
Description of random fields by systems of conditional distributions 用条件分布系统描述随机场
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-02-18 DOI: 10.52737/18291163-2022.14.8-1-40
L. Khachatryan
{"title":"Description of random fields by systems of conditional distributions","authors":"L. Khachatryan","doi":"10.52737/18291163-2022.14.8-1-40","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.8-1-40","url":null,"abstract":"In this paper, we consider the direct and inverse problems of the description of lattice positive random fields by various systems of finite-dimensional (as well as one-point) probability distributions parameterized by boundary conditions. In the majority of cases, we provide necessary and sufficient conditions for the system to be a conditional distribution of a (unique) random field. The exception is Dobrushin-type systems for which only sufficient conditions are known. Also, we discuss possible applications of the considered systems.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45003016","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
Annular region containing all the zeros of lacunary-type polynomials 包含空位型多项式所有零点的环形区域
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-02-10 DOI: 10.52737/18291163-2022.14.4-1-9
A. Kumar, Z. Manzoor, B. Zargar
{"title":"Annular region containing all the zeros of lacunary-type polynomials","authors":"A. Kumar, Z. Manzoor, B. Zargar","doi":"10.52737/18291163-2022.14.4-1-9","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.4-1-9","url":null,"abstract":"","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48277785","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
Integral representation of one class of entire functions 一类整函数的积分表示
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-02-10 DOI: 10.52737/18291163-2022.14.1-1-9
R. Khats
{"title":"Integral representation of one class of entire functions","authors":"R. Khats","doi":"10.52737/18291163-2022.14.1-1-9","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.1-1-9","url":null,"abstract":"In this paper, we study an integral representation of one class of entire functions. Conditions for the existence of this representation in terms of certain solutions of some differential equations are found. We obtain asymptotic estimates of entire functions from the considered class of functions. We also give examples of entire functions from this class","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45254325","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
Evaluation subgroups of a map and the rationalized G-sequence 映射的求值子群与有理g序列
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-02-10 DOI: 10.52737/18291163-2022.14.2-1-10
O. Maphane
{"title":"Evaluation subgroups of a map and the rationalized G-sequence","authors":"O. Maphane","doi":"10.52737/18291163-2022.14.2-1-10","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.2-1-10","url":null,"abstract":". In this paper, we determine, in terms of the Sullivan models, rational evaluation subgroups of the inclusion C P ( n ) (cid:44) → C P ( n + k ) between complex projective spaces and, more generally, the G -sequence of the homotopy monomorphism ι : X (cid:44) → Y between simply connected formal homogeneous spaces for which π ∗ ( Y ) ⊗ Q is finite dimensional.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43470155","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
Exponential decay for a strain gradient porous thermoelasticity with second sound 具有第二声的应变梯度多孔热弹性的指数衰减
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-02-10 DOI: 10.52737/18291163-2022.14.3-1-23
A. Ahmima, A. Fareh
{"title":"Exponential decay for a strain gradient porous thermoelasticity with second sound","authors":"A. Ahmima, A. Fareh","doi":"10.52737/18291163-2022.14.3-1-23","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.3-1-23","url":null,"abstract":"","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47245445","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
Controlled generalized fusion frame in the tensor product of Hilbert spaces Hilbert空间张量积中的受控广义融合框架
IF 0.4
Armenian Journal of Mathematics Pub Date : 2021-12-28 DOI: 10.52737/18291163-2021.13.13-1-18
Prasenjit Ghosh, T. Samanta
{"title":"Controlled generalized fusion frame in the tensor product of Hilbert spaces","authors":"Prasenjit Ghosh, T. Samanta","doi":"10.52737/18291163-2021.13.13-1-18","DOIUrl":"https://doi.org/10.52737/18291163-2021.13.13-1-18","url":null,"abstract":"We present controlled by operators generalized fusion frame in the tensor product of Hilbert spaces and discuss some of its properties. We also describe the frame operator for a pair of controlled $g$-fusion Bessel sequences in the tensor product of Hilbert spaces.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42306176","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
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