{"title":"三角形矩阵环中的半中心幂等式的作用","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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-09-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2398629\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2398629","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The role of semicentral idempotents in triangular matrix rings
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....