{"title":"The role of semicentral idempotents in triangular matrix rings","authors":"D. I. Vladeva","doi":"10.1080/00927872.2024.2398629","DOIUrl":null,"url":null,"abstract":"The circle composition e1°e2=e1+e2−e1e2 is well-known from the seminal book of Jacobson. A part of our motivation aims to find non-orthogonal idempotents e1 and e2 such that e1°e2 is an idempotent....","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"10 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2398629","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The circle composition e1°e2=e1+e2−e1e2 is well-known from the seminal book of Jacobson. A part of our motivation aims to find non-orthogonal idempotents e1 and e2 such that e1°e2 is an idempotent....
期刊介绍:
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry