发布求助
文献互助 智能选刊 最新文献

Journal of Algebra and Related Topics最新文献

筛选
英文 中文
Filtration, asymptotic $sigma$-prime divisors and superficial elements 过滤、渐近$sigma$-素数和表面元素
Journal of Algebra and Related Topics Pub Date : 2021-06-01 DOI: 10.22124/JART.2021.17418.1221
K. A. Essan
{"title":"Filtration, asymptotic $sigma$-prime divisors and superficial elements","authors":"K. A. Essan","doi":"10.22124/JART.2021.17418.1221","DOIUrl":"https://doi.org/10.22124/JART.2021.17418.1221","url":null,"abstract":"Let $(A,mathfrak{M})$ be a Noetherian local ring with infinite residue field $A/ mathfrak{M}$ and $I$ be a $mathfrak{M}$-primary ideal of $A$. Let $f = (I_{n})_{nin mathbb{N}}$ be a good filtration on $A$ such that $I_{1}$ containing $I$. Let $sigma$ be a semi-prime operation in the set of ideals of $A$. Let $lgeq 1$ be an integer and $(f^{(l)})_{sigma} = sigma(I_{n+l}):sigma(I_{n})$ for all large integers $n$ and$rho^{f}_{sigma}(A)= min big{ nin mathbb{N} | sigma(I_{l})=(f^{(l)})_{sigma}, for all lgeq n big}$. Here we show that, if $I$ contains an $sigma(f)$-superficial element, then $sigma(I_{l+1}):I_{1}=sigma(I_{l})$ for all $l geq rho^{f}_{sigma}(A)$. We suppose that $P$ is a prime ideal of $A$ and there exists a semi-prime operation $widehat{sigma}_{P}$ in the set of ideals of $A_{P}$ such that $widehat{sigma}_{P}(JA_{P})=sigma(J)A_{P}$, for all ideal $J$ of $A$. Hence $Ass_{A}big( A / sigma(I_{l}) big) subseteq Ass_{A}big( A / sigma(I_{l+1}) big)$, for all $l geq rho^{f}_{sigma}(A)$.","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"9 1","pages":"159-167"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44320328","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 Property (A) of rings and modules over an ideal 关于理想上环和模的性质（A）
Journal of Algebra and Related Topics Pub Date : 2020-12-01 DOI: 10.22124/JART.2020.16259.1197
S. Bouchiba, Y. Arssi
{"title":"On Property (A) of rings and modules over an ideal","authors":"S. Bouchiba, Y. Arssi","doi":"10.22124/JART.2020.16259.1197","DOIUrl":"https://doi.org/10.22124/JART.2020.16259.1197","url":null,"abstract":"This paper introduces and studies the notion of Property ($mathcal A$) of a ring $R$ or an $R$-module $M$ along an ideal $I$ of $R$. For instance, any module $M$ over $R$ satisfying the Property ($mathcal A$) do satisfy the Property ($mathcal A$) along any ideal $I$ of $R$. We are also interested in ideals $I$ which are $mathcal A$-module along themselves. In particular, we prove that if $I$ is contained in the nilradical of $R$, then any $R$-module is an $mathcal A$-module along $I$ and, thus, $I$ is an $mathcal A$-module along itself. Also, we present an example of a ring $R$ possessing an ideal $I$ which is an $mathcal A$-module along itself while $I$ is not an $mathcal A$-module. Moreover, we totally characterize rings $R$ satisfying the Property ($mathcal A$) along an ideal $I$ in both cases where $Isubseteq Z(R)$ and where $Insubseteq Z(R)$. Finally, we investigate the behavior of the Property ($mathcal A$) along an ideal with respect to direct products.","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"8 1","pages":"57-74"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44744639","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
Relations between G-sets and their associate G^{hat}-sets G-集及其关联G之间的关系^{hat}-sets
Journal of Algebra and Related Topics Pub Date : 2020-12-01 DOI: 10.22124/JART.2020.17806.1232
N. R. Khorshid, S. Ostadhadi-Dehkordi
{"title":"Relations between G-sets and their associate G^{hat}-sets","authors":"N. R. Khorshid, S. Ostadhadi-Dehkordi","doi":"10.22124/JART.2020.17806.1232","DOIUrl":"https://doi.org/10.22124/JART.2020.17806.1232","url":null,"abstract":"In this paper, we define and consider $G$-set on$Gamma$-semihypergroups and we obtain relations between $G$-setsand their associate $widehat{G}$-sets where $G$ is a$Gamma$-semihypergroup and $widehat{G}$ is an associatedsemihypergroup. Finally, we obtain the relation between direct limit of $widehat{G}$-sets from the direct limit defined on $G$-sets.","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"8 1","pages":"75-91"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42424755","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
Traces of permuting n-additive mappings in *-prime rings *素环中置换n-加性映射的迹
Journal of Algebra and Related Topics Pub Date : 2020-12-01 DOI: 10.22124/JART.2020.16288.1200
A. Ali, K. Kumar
{"title":"Traces of permuting n-additive mappings in *-prime rings","authors":"A. Ali, K. Kumar","doi":"10.22124/JART.2020.16288.1200","DOIUrl":"https://doi.org/10.22124/JART.2020.16288.1200","url":null,"abstract":"In this paper, we prove that a nonzero square closed $*$-Lie ideal $U$ of a $*$-prime ring $Re$ of Char $Re$ $neq$ $(2^{n}-2)$ is central, if one of the following holds: $(i)delta(x)delta(y)mp xcirc yin Z(Re),$ $(ii)[x,y]-delta(xy)delta(yx)in Z(Re),$ $(iii)delta(x)circ delta(y)mp [x,y]in Z(Re),$ $(iv)delta(x)circ delta(y)mp xyin Z(Re),$ $(v) delta(x)delta(y)mp yxin Z(Re),$ where $delta$ is the trace of $n$-additive map $digamma: underbrace{Retimes Retimes....times Re}_{n-times}longrightarrow Re$,$~mbox{for all}~ x,yin U$.","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"8 1","pages":"9-21"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43885548","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 pure submodules 纯子模块的泛化
Journal of Algebra and Related Topics Pub Date : 2020-12-01 DOI: 10.22124/JART.2020.17279.1215
Faranak Farshadifar
{"title":"A generalization of pure submodules","authors":"Faranak Farshadifar","doi":"10.22124/JART.2020.17279.1215","DOIUrl":"https://doi.org/10.22124/JART.2020.17279.1215","url":null,"abstract":"‎Let $R$ be a commutative ring with identity‎, ‎$S$ a multiplicatively closed subset of $R$‎, ‎and $M$ be an $R$-module‎. ‎The goal of this work is to introduce the notion of $S$-pure submodules of $M$ as a generalization of pure submodules of $M$ and prove a number of results concerning of this class of modules‎. ‎We say that a submodule $N$ of $M$ is emph {$S$-pure} if there exists an $s in S$ such that $s(N cap IM) subseteq IN$ for every ideal $I$ of $R$‎. ‎Also‎, ‎We say that $M$ is emph{fully $S$-pure} if every submodule of $M$ is $S$-pure‎.","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"8 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48008353","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
Determining Number of Some Families of Cubic Graphs 确定三次图若干族的数目
Journal of Algebra and Related Topics Pub Date : 2020-12-01 DOI: 10.22124/JART.2020.16856.1209
A. Das, M. Saha
{"title":"Determining Number of Some Families of Cubic Graphs","authors":"A. Das, M. Saha","doi":"10.22124/JART.2020.16856.1209","DOIUrl":"https://doi.org/10.22124/JART.2020.16856.1209","url":null,"abstract":"The determining number of a graph $G = (V,E)$ is the minimum cardinality of a set $Ssubseteq V$ such that pointwise stabilizer of $S$ under the action of $Aut(G)$ is trivial. In this paper, we compute the determining number of some families of cubic graphs.","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"8 1","pages":"39-55"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44744387","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
Centers of centralizer nearrings determined by inner automorphisms of symmetric groups 对称群的内自同构决定的扶正器近环的中心
Journal of Algebra and Related Topics Pub Date : 2020-06-01 DOI: 10.22124/JART.2020.14757.1171
M. Boudreaux, G. Cannon, K. Neuerburg, T. Palmer, T. Troxclair
{"title":"Centers of centralizer nearrings determined by inner automorphisms of symmetric groups","authors":"M. Boudreaux, G. Cannon, K. Neuerburg, T. Palmer, T. Troxclair","doi":"10.22124/JART.2020.14757.1171","DOIUrl":"https://doi.org/10.22124/JART.2020.14757.1171","url":null,"abstract":"The question of identifying the elements of the center of a nearring and of determining when that center is a subnearring is an area of continued research. We consider the centers of centralizer nearrings, MI(Sn), determined by the symmetric groups Sn with n≥3 and the inner automorphisms I=Inn Sn. General tools for determining elements of the center of MI(Sn) are developed, and we use these to list the specific elements in the centers of MI(S4), MI(S5), and MI(S6).","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"8 1","pages":"51-65"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48104871","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
Pullback of lie algebra and lie group bundles, and their homotopy invariance 李代数和李群丛的拉回及其同态不变性
Journal of Algebra and Related Topics Pub Date : 2020-06-01 DOI: 10.22124/JART.2020.13988.1156
K. Ajaykumar, B. Kiranagi, R. Rangarajan
{"title":"Pullback of lie algebra and lie group bundles, and their homotopy invariance","authors":"K. Ajaykumar, B. Kiranagi, R. Rangarajan","doi":"10.22124/JART.2020.13988.1156","DOIUrl":"https://doi.org/10.22124/JART.2020.13988.1156","url":null,"abstract":"We study the pullback Lie algebra (group) bundle of a Lie algebra (group) bundle and show that the Lie algebra bundle of the pullback of a Lie group bundle $mathfrak{G}$ is isomorphic to the pullback of the Lie algebra bundle of $mathfrak{G}$. Then, using the notion of Lie connection on a Lie algebra bundle, we show that the pullbacks of a Lie algebra bundle $xi$ over a smooth manifold $M$ with respect to two smooth homotopic functions $f_0 , f_1 : N rightarrow M$ are isomorphic to Lie algebra bundles over $N$.","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"8 1","pages":"15-26"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43613058","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 Graded Prime Submodules over Non-Commutative Graded Rings 非交换分阶环上的分阶素子模的推广
Journal of Algebra and Related Topics Pub Date : 2020-06-01 DOI: 10.22124/JART.2020.15402.1185
P. Ghiasvand, F. Farzalipour
{"title":"A Generalization of Graded Prime Submodules over Non-Commutative Graded Rings","authors":"P. Ghiasvand, F. Farzalipour","doi":"10.22124/JART.2020.15402.1185","DOIUrl":"https://doi.org/10.22124/JART.2020.15402.1185","url":null,"abstract":"Let $G$ be a group with identity $e$. Let $R$ be an associative $G$-graded ring and $M$ be a $G$-graded $R$-module. In this article, we intruduce the concept of graded 2-absorbing submodules as a generalization of graded prime submodules over non-commutative graded rings. Moreover, we get some properties of such graded submodules.","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"8 1","pages":"39-50"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42630419","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
Resolvability in complement of the intersection graph of annihilator submodules of a module 模的湮灭子模的交图补的可分辨性
Journal of Algebra and Related Topics Pub Date : 2020-06-01 DOI: 10.22124/JART.2020.15786.1192
S. Payrovi, S. Pejman, S. Babaei
{"title":"Resolvability in complement of the intersection graph of annihilator submodules of a module","authors":"S. Payrovi, S. Pejman, S. Babaei","doi":"10.22124/JART.2020.15786.1192","DOIUrl":"https://doi.org/10.22124/JART.2020.15786.1192","url":null,"abstract":"Let $R$ be a commutative ring and $M$ be an $R$-module. The intersection graph of annihilatorsubmodules of $M$, denoted by ${GA(M)}$, is a simple undirected graph whose vertices are the classes of elements of $Z(M)setminus {rm Ann}_R(M)$ and two distinct classes $[a]$ and$[b]$ are adjacent if and only if ${rm Ann}_M(a)cap {rm Ann}_M(b)not=0$. In this paper, we studythe diameter and girth of $overline{GA(M)}$. Furthermore, we calculate the domination number,metric dimension, adjacency metric dimension and local metric dimension of $overline{GA(M)}$.","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"8 1","pages":"27-37"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43709392","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
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