发布求助
文献互助 智能选刊 最新文献

Armenian Journal of Mathematics最新文献

筛选
英文 中文
Saturation of finitely-generated submodules of free modules over Prüfer domains 自由模的有限生成子模在偏好域上的饱和
IF 0.4
Armenian Journal of Mathematics Pub Date : 2021-03-19 DOI: 10.52737/18291163-2021.13.1-1-21
I. Yengui, Faten Ben Amor
{"title":"Saturation of finitely-generated submodules of free modules over Prüfer domains","authors":"I. Yengui, Faten Ben Amor","doi":"10.52737/18291163-2021.13.1-1-21","DOIUrl":"https://doi.org/10.52737/18291163-2021.13.1-1-21","url":null,"abstract":"We propose to give an algorithm for computing the R-saturation of a finitely-generated submodule of a free module E over a Prüfer domain R. To do this, we start with the local case, that is, the case where R is a valuation domain. After that, we consider the global case (R is a Prüfer domain) using the dynamical method. The proposed algorithm is based on an algorithm given by Ducos, Monceur and Yengui in the case E=R[X]m which is reformulated here in a more general setting in order to reach a wider audience. The last section is devoted to the case where R is a Bézout domain. Particular attention is paid to the case where R is a principal ideal domain (Z as the main example).","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41421280","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
Hyperidentities with permutations in invertible binary algebras 可逆二元代数中具有置换的超恒等式
IF 0.4
Armenian Journal of Mathematics Pub Date : 2020-12-29 DOI: 10.52737/18291163-2020.12.12-1-21
D. Shahnazaryan, S. Davidov
{"title":"Hyperidentities with permutations in invertible binary algebras","authors":"D. Shahnazaryan, S. Davidov","doi":"10.52737/18291163-2020.12.12-1-21","DOIUrl":"https://doi.org/10.52737/18291163-2020.12.12-1-21","url":null,"abstract":"In this paper, using hyperidentities with permutations we obtained characterization invertible algebras of various types of linearity.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2020-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42570956","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 a family of weighted $overlinepartial$-integral representations in the unit disc 关于单位圆盘中的加权$overline偏$-积分表示族
IF 0.4
Armenian Journal of Mathematics Pub Date : 2020-12-25 DOI: 10.52737/18291163-2020.12.11-1-16
F. Hayrapetyan
{"title":"On a family of weighted $overlinepartial$-integral representations in the unit disc","authors":"F. Hayrapetyan","doi":"10.52737/18291163-2020.12.11-1-16","DOIUrl":"https://doi.org/10.52737/18291163-2020.12.11-1-16","url":null,"abstract":"For weighted $L^p$-classess of $C^1$-functions in the unit disc with weight function of the type $|w|^{2gamma}cdot(1-|w|^{2rho})^{alpha}$, we obtain a family of weighted $overline{partial}$-integral representations of the type $f = P(f) - T(overline{partial} f)$.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2020-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44389972","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 some quasi-periodic approximations 关于一些拟周期近似
IF 0.4
Armenian Journal of Mathematics Pub Date : 2020-10-30 DOI: 10.52737/18291163-2020.12.10-1-27
A. Poghosyan, Lusine Poghosyan, R. Barkhudaryan
{"title":"On some quasi-periodic approximations","authors":"A. Poghosyan, Lusine Poghosyan, R. Barkhudaryan","doi":"10.52737/18291163-2020.12.10-1-27","DOIUrl":"https://doi.org/10.52737/18291163-2020.12.10-1-27","url":null,"abstract":"Trigonometric approximation or interpolation of a non-smooth function on a finite interval has poor convergence properties. This is especially true for discontinuous functions. The case of infinitely differentiable but non-periodic functions with discontinuous periodic extensions onto the real axis has attracted interest from many researchers. In a series of works, we discussed an approach based on quasi-periodic trigonometric basis functions whose periods are slightly bigger than the length of the approximation interval. We proved validness of the approach for trigonometric interpolations. In this paper, we apply those ideas to classical Fourier expansions.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2020-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44617787","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
An iterative algorithm based on the generalized viscosity explicit methods for an infinite family of accretive operators 一个基于广义粘性显式方法的无限增生算子族的迭代算法
IF 0.4
Armenian Journal of Mathematics Pub Date : 2020-09-25 DOI: 10.52737/18291163-2020.12.9-1-19
T. Sow
{"title":"An iterative algorithm based on the generalized viscosity explicit methods for an infinite family of accretive operators","authors":"T. Sow","doi":"10.52737/18291163-2020.12.9-1-19","DOIUrl":"https://doi.org/10.52737/18291163-2020.12.9-1-19","url":null,"abstract":"In this paper, we introduce and study a new iterative method based on the generalized viscosity explicit methods (GVEM) for solving the inclusion problem with an infinite family of multivalued accretive operators in real Banach spaces. Applications to equilibrium and to convex minimization problems involving an infinite family of semi-continuous and convex functions are included. Our results improve important recent results.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2020-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42817683","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
Existence of a solution in the Holder space for a nonlinear functional integral equation 一类非线性泛函积分方程在Holder空间解的存在性
IF 0.4
Armenian Journal of Mathematics Pub Date : 2020-08-28 DOI: 10.52737/18291163-2020.12.7-1-8
Dipankar Saha, M. Sen, Nimai Sarkar, Subhankar Saha
{"title":"Existence of a solution in the Holder space for a nonlinear functional integral equation","authors":"Dipankar Saha, M. Sen, Nimai Sarkar, Subhankar Saha","doi":"10.52737/18291163-2020.12.7-1-8","DOIUrl":"https://doi.org/10.52737/18291163-2020.12.7-1-8","url":null,"abstract":"This article is entirely devoted to the application of the measure of noncompactness defined in the Holder space. Here the emphasis is on the study of the nonlinear functional integral equation with changed arguments. Precisely, the existence of a solution is obtained by employing the Darbo fixed point theorem under certain hypotheses. Finally, we provide a tangible example which supports our results.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2020-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42963611","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
Generic lightlike submanifolds of an indefinite Kaehler manifold with an (ℓ,m)-type metric connection 具有(r,m)型度量连接的不定Kaehler流形的一般类光子流形
IF 0.4
Armenian Journal of Mathematics Pub Date : 2020-08-18 DOI: 10.52737/18291163-2020.12.6-1-17
Chul Woo Lee, Jae Won Lee
{"title":"Generic lightlike submanifolds of an indefinite Kaehler manifold with an (ℓ,m)-type metric connection","authors":"Chul Woo Lee, Jae Won Lee","doi":"10.52737/18291163-2020.12.6-1-17","DOIUrl":"https://doi.org/10.52737/18291163-2020.12.6-1-17","url":null,"abstract":"We study generic lightlike submanifolds M of an indefinite Kaehler manifold ¯M or an indefinite complex space form ¯M(c) with an (ℓ,m)-type metric connection subject such that the characteristic vector field ζ of ¯M belongs to our screen distribution S(TM) of M.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2020-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45063737","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 power integrability with a weight of trigonometric series from $RBVS_{+,omega}^{r,delta }$ class 关于$RBVS_｛+，omega｝^｛r，delta｝$类的三角级数权的幂可积性
IF 0.4
Armenian Journal of Mathematics Pub Date : 2020-08-02 DOI: 10.52737/18291163-2020.12.8-1-15
X. Krasniqi
{"title":"On the power integrability with a weight of trigonometric series from $RBVS_{+,omega}^{r,delta }$ class","authors":"X. Krasniqi","doi":"10.52737/18291163-2020.12.8-1-15","DOIUrl":"https://doi.org/10.52737/18291163-2020.12.8-1-15","url":null,"abstract":"In this article, we have presented the necessary and sufficient conditions for the power integrability with a weight of the sum of sine and cosine series whose coefficients belong to the $RBVS_{+,omega}^{r,delta }$ class.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2020-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46449346","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
Canonical heights on Pell conics over number fields 数域上佩尔曲线的正则高度
IF 0.4
Armenian Journal of Mathematics Pub Date : 2020-07-17 DOI: 10.52737/18291163-2020.12.5-1-9
Masao Okazaki
{"title":"Canonical heights on Pell conics over number fields","authors":"Masao Okazaki","doi":"10.52737/18291163-2020.12.5-1-9","DOIUrl":"https://doi.org/10.52737/18291163-2020.12.5-1-9","url":null,"abstract":"In \"Higher descent on Pell conics. III. The first 2-descent\", Lemmermeyer introduced the canonical heights on the groups of rational points on Pell conics, which are analogues of the canonical heights on elliptic curves. In this paper, we generalize this: We introduce the canonical heights on the groups of Q-rational points on Pell conics over number fields.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2020-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43567398","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 refinements of the Jensen-Mercer inequality associated to positive n-tuples 与正n元组相关的Jensen-Mercer不等式的新改进
IF 0.4
Armenian Journal of Mathematics Pub Date : 2020-06-20 DOI: 10.52737/18291163-2020.12.4-1-12
M. Khan, J. Pečarić
{"title":"New refinements of the Jensen-Mercer inequality associated to positive n-tuples","authors":"M. Khan, J. Pečarić","doi":"10.52737/18291163-2020.12.4-1-12","DOIUrl":"https://doi.org/10.52737/18291163-2020.12.4-1-12","url":null,"abstract":"In this manuscript, we propose new refinements for the Jensen-Mercer as well as variant of the Jensen-Mercer inequalities associated to certain positive tuples. We give some related integral version and present applications for different means. At the end, further generalizations are given which are associated to m finite sequences.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2020-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42697906","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: 4
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信