On the Generalized Strongly Nil-Clean Property of Matrix Rings

IF 0.4 4区 数学 Q4 MATHEMATICS Algebra Colloquium Pub Date : 2021-11-08 DOI:10.1142/s1005386721000481
A. Kostic, Z. Petrovic, Zoran S. Pucanovic, Maja Roslavcev
{"title":"On the Generalized Strongly Nil-Clean Property of Matrix Rings","authors":"A. Kostic, Z. Petrovic, Zoran S. Pucanovic, Maja Roslavcev","doi":"10.1142/s1005386721000481","DOIUrl":null,"url":null,"abstract":"Let [Formula: see text] be an associative unital ring and not necessarily commutative. We analyze conditions under which every [Formula: see text] matrix [Formula: see text] over [Formula: see text] is expressible as a sum [Formula: see text] of (commuting) idempotent matrices [Formula: see text] and a nilpotent matrix [Formula: see text].","PeriodicalId":50958,"journal":{"name":"Algebra Colloquium","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2021-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra Colloquium","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s1005386721000481","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

Abstract

Let [Formula: see text] be an associative unital ring and not necessarily commutative. We analyze conditions under which every [Formula: see text] matrix [Formula: see text] over [Formula: see text] is expressible as a sum [Formula: see text] of (commuting) idempotent matrices [Formula: see text] and a nilpotent matrix [Formula: see text].
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
关于矩阵环的广义强Nil-Clean性质
设[公式:见正文]是一个结合酉环,不一定是可交换的。我们分析了每个[公式:见文]矩阵[公式:见文]/[公式:见文]可表示为(交换)幂等矩阵[公式:见文]和幂零矩阵[公式:见文]的和[公式:见文]的条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Algebra Colloquium
Algebra Colloquium 数学-数学
CiteScore
0.60
自引率
0.00%
发文量
625
审稿时长
15.6 months
期刊介绍: Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.
期刊最新文献
Yet More Elementary Proof of Matrix-Tree Theorem for Signed Graphs Strongly Clean Matrix Rings over a Skew Monoid Ring Silting Objects over the Stable Monomorphism Category of Higher Differential Objects Algebraic Characterization of SSC of Uni-Cyclic Multigraphs Regular and p-Regular Orbits of Solvable Linear Groups, II
×
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
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1