发布求助
文献互助 智能选刊 最新文献

International Electronic Journal of Algebra最新文献

筛选
英文 中文
SOME REMARKS ON THE ORDER SUPERGRAPH OF THE POWER GRAPH OF A FINITE GROUP 有限群幂图的阶超图的若干注释
IF 0.6
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI: 10.24330/IEJA.586838
A. Hamzeh, A. Ashrafi
{"title":"SOME REMARKS ON THE ORDER SUPERGRAPH OF THE POWER GRAPH OF A FINITE GROUP","authors":"A. Hamzeh, A. Ashrafi","doi":"10.24330/IEJA.586838","DOIUrl":"https://doi.org/10.24330/IEJA.586838","url":null,"abstract":"Let G be a finite group. The main supergraph S(G) is a graph with vertex set G in which two vertices x and y are adjacent if and only if o(x)|o(y) or o(y)|o(x). In an earlier paper, the main properties of this graph was obtained. The aim of this paper is to investigate the Hamiltonianity, Eulerianness and 2-connectedness of this graph.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47833113","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
INJECTIVE MODULES WITH RESPECT TO MODULES OF PROJECTIVE DIMENSION AT MOST ONE 关于投影维数至多为1的模的内射模
IF 0.6
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI: 10.24330/IEJA.586945
S. Bouchiba, M. El-Arabi
{"title":"INJECTIVE MODULES WITH RESPECT TO MODULES OF PROJECTIVE DIMENSION AT MOST ONE","authors":"S. Bouchiba, M. El-Arabi","doi":"10.24330/IEJA.586945","DOIUrl":"https://doi.org/10.24330/IEJA.586945","url":null,"abstract":"Several authors have been interested in cotorsion theories. Among these theories we figure the pairs $(mathcal P_n,mathcal P_n^{perp})$, where $mathcal P_n$ designates the set of modules of projective dimension at most a given integer $ngeq 1$  over a ring $R$. In this paper, we shall focus on homological properties of the class $mathcal P_1^{perp}$ that we term the class of $mathcal P_1$-injective modules. Numerous nice characterizations of rings as well as of their homological dimensions arise from this study. In particular, it is shown that a ring $R$ is left hereditary if and only if any $mathcal P_1$-injective module is injective and that $R$ is  left semi-hereditary if and only if any $mathcal P_1$-injective module is FP-injective. Moreover, we prove that the global dimensions of $R$ might be computed in terms of $mathcal P_1$-injective modules, namely the formula for the global dimension and the weak global dimension turn out to be as follows $$wdim(R)=sup {fd_R(M): Mmbox { is a }mathcal P_1mbox {-injective left } Rmbox {-module} }$$ and $$gdim(R)=sup {pd_R(M):M mbox { is a }mathcal P_1mbox {-injective left }Rmbox {-module}}.$$ We close the paper by proving that, given a Matlis domain $R$ and an $R$-module $Minmathcal P_1$, $Hom_R(M,N)$ is $mathcal P_1$-injective for each $mathcal P_1$-injective module $N$ if and only if $M$ is strongly flat.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43289411","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 ASSOCIATED PRIME IDEALS AND THE DEPTH OF POWERS OF SQUAREFREE PRINCIPAL BOREL IDEALS 关于关联素数理想和平方主BOREL理想的幂深度
IF 0.6
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI: 10.24330/IEJA.587081
J. Herzog, B. Lajmiri, F. Rahmati
{"title":"ON THE ASSOCIATED PRIME IDEALS AND THE DEPTH OF POWERS OF SQUAREFREE PRINCIPAL BOREL IDEALS","authors":"J. Herzog, B. Lajmiri, F. Rahmati","doi":"10.24330/IEJA.587081","DOIUrl":"https://doi.org/10.24330/IEJA.587081","url":null,"abstract":"We study algebraic properties of powers of squarefree principal Borel ideals I, and show that astab(I) = dstab(I). Furthermore, the behaviour of the depth function depth S/I^k is considered.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48547085","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
ON LEAVITT PATH ALGEBRAS OVER COMMUTATIVE RINGS 交换环上的莱维特路径代数
IF 0.6
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI: 10.24330/IEJA.587053
P. Kanwar, M. Khatkar, Rajneesh Sharma
{"title":"ON LEAVITT PATH ALGEBRAS OVER COMMUTATIVE RINGS","authors":"P. Kanwar, M. Khatkar, Rajneesh Sharma","doi":"10.24330/IEJA.587053","DOIUrl":"https://doi.org/10.24330/IEJA.587053","url":null,"abstract":"In this article, basic ideals in a Leavitt path algebra over a com- mutative unital ring are studied. It is shown that for a nite acyclic graph E and a commutative unital ring R, the Leavitt path algebra LR(E) is a direct sum of minimal basic ideals and that for a commutative ring R and a graph E satisfying Condition (L), the Leavitt path algebra LR(E) has no non-zero nilpotent basic ideals. Uniqueness theorems for Leavitt path algebras over commutative unital rings are also discussed.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42714537","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
A GENERALIZATION OF SIMPLE-INJECTIVE RINGS 单射环的一个推广
IF 0.6
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI: 10.24330/IEJA.586952
Zhu Zhanmin
{"title":"A GENERALIZATION OF SIMPLE-INJECTIVE RINGS","authors":"Zhu Zhanmin","doi":"10.24330/IEJA.586952","DOIUrl":"https://doi.org/10.24330/IEJA.586952","url":null,"abstract":"A ring R is called right 2-simple J-injective if, for every 2-generated right ideal I < J(R), every R-linear map from I to R with simple image ex tends to R. The class of right 2-simple J-injective rings is broader than that of right 2-simple injective rings and right simple J-injective rings. Right 2-simple J-injective right Kasch rings are studied, several conditions under which right 2-simple J-injective rings are QF-rings are given.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47842135","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 SPECIAL PRESENTATION OF MATRIX ALGEBRAS 关于矩阵代数的一个特殊表示
IF 0.6
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI: 10.24330/IEJA.662946
G. Agnarsson, S. Mendelson
{"title":"ON A SPECIAL PRESENTATION OF MATRIX ALGEBRAS","authors":"G. Agnarsson, S. Mendelson","doi":"10.24330/IEJA.662946","DOIUrl":"https://doi.org/10.24330/IEJA.662946","url":null,"abstract":"Recognizing when a ring is a complete matrix ring is of significant importance in algebra. It is well-known folklore that a ring $R$ is a complete $ntimes n$ matrix ring, so $Rcong M_{n}(S)$ for some ring $S$, if and only if it contains a set of $ntimes n$ matrix units ${e_{ij}}_{i,j=1}^n$. A more recent and less known result states that a ring $R$ is a complete $(m+n)times(m+n)$ matrix ring if and only if, $R$ contains three elements, $a$, $b$, and $f$, satisfying the two relations $af^m+f^nb=1$ and $f^{m+n}=0$. In many instances the two elements $a$ and $b$ can be replaced by appropriate powers $a^i$ and $a^j$ of a single element $a$ respectively. In general very little is known about the structure of the ring $S$. In this article we study in depth the case $m=n=1$ when $Rcong M_2(S)$. More specifically we study the universal algebra over a commutative ring $A$ with elements $x$ and $y$ that satisfy the relations $x^iy+yx^j=1$ and $y^2=0$. We describe completely the structure of these $A$-algebras and their underlying rings when $gcd(i,j)=1$. Finally we obtain results that fully determine when there are surjections onto $M_2({mathbb F})$ when ${mathbb F}$ is a base field ${mathbb Q}$ or ${mathbb Z}_p$ for a prime number $p$.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44373959","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 FINITE DIMENSIONAL ALGEBRAS WHICH ARE SUMS OF TWO SUBALGEBRAS 关于两个子代数之和的有限维代数
IF 0.6
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI: 10.24330/IEJA.587018
M. Kosan, J. Žemlička
{"title":"ON FINITE DIMENSIONAL ALGEBRAS WHICH ARE SUMS OF TWO SUBALGEBRAS","authors":"M. Kosan, J. Žemlička","doi":"10.24330/IEJA.587018","DOIUrl":"https://doi.org/10.24330/IEJA.587018","url":null,"abstract":"In this paper, we give a general method of the construction of a 3-dimensional associative algebra R over an arbitrary field F that is a sum of two subalgebras R_1 and R_2 (i.e. R = R_1 + R_2).","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42706762","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
ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS 由一对理想定义的上局部上同模的湮灭子
IF 0.6
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI: 10.24330/IEJA.586962
S. Karimi, S. Payrovi
{"title":"ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS","authors":"S. Karimi, S. Payrovi","doi":"10.24330/IEJA.586962","DOIUrl":"https://doi.org/10.24330/IEJA.586962","url":null,"abstract":"Let  $R$ be a commutative Noetherian ring,  $I, J$ two proper ideals of $R$ and let $M$ be a non-zero finitely generated  $R$-module with $c={rm cd}(I,J,M)$. In this paper, we first  introduce $T_R(I,J,M)$ as the largest submodule of $M$ with the property that ${rm cd}(I,J,T_R(I,J,M))<c$ and we describe it in terms of the reduced primary decomposition of zero submodule of $M$. It is shown that  ${rm Ann}_R(H_{I,J}^d(M))={rm Ann}_R(M/{T_R(I,J,M)})$ and ${rm Ann}_R(H_{I}^d(M))={rm Ann}_R(H_{I,J}^d(M))$, whenever $R$ is a  local ring, $M$ has dimension $d$ with $H_{I,J}^d(M)neq0$ and $J^tMsubseteq T_R(I,M)$ for some positive integer $t$.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46801677","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
ON alpha-ALMOST QUASI ARTINIAN MODULES 关于 -几乎拟人工模
IF 0.6
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI: 10.24330/IEJA.586913
M. Davoudian
{"title":"ON alpha-ALMOST QUASI ARTINIAN MODULES","authors":"M. Davoudian","doi":"10.24330/IEJA.586913","DOIUrl":"https://doi.org/10.24330/IEJA.586913","url":null,"abstract":"In this article we introduce and study the concepts of alpha-almost quasi Artinian and  alpha -quasi Krull modules. Using these concepts we extend some of the basic results of  alpha -almost Artinian and  alpha -Krull modules to  alpha - almost quasi Artinian and  alpha -quasi Krull modules. We observe that if M is an alpha -quasi Krull module then the quasi Krull dimension of M is either  alpha  or  alpha +1.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46949459","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
EXTENDING TABLE ALGEBRAS TO HOPF ALGEBRAS 将表代数推广到HOPF代数
IF 0.6
International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI: 10.24330/IEJA.586882
A. Herman, Gurmail Singh
{"title":"EXTENDING TABLE ALGEBRAS TO HOPF ALGEBRAS","authors":"A. Herman, Gurmail Singh","doi":"10.24330/IEJA.586882","DOIUrl":"https://doi.org/10.24330/IEJA.586882","url":null,"abstract":"Let $A$ be a table algebra with standard basis $mathbf{B}$, multiplication $mu$, unit map $eta$, skew-linear involution $*$, and degree map $delta$.  In this article we study the possible coalgebra structures $(A,Delta, delta)$ on $A$ for which $(A, mu, eta, Delta, delta)$ becomes a Hopf algebra with respect to some antipode.  We show that such Hopf algebra structures are not always available for noncommutative table algebras.  On the other hand, commutative table algebras will always have a Hopf algebra structure induced from an algebra-isomorphic group algebra.  To illustrate our approach, we derive Hopf algebra comultiplications on table algebras of dimension 2 and 3.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45697110","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
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