{"title":"Characterizations of the commutators involving idempotents in certain subrings of $M_{2}(\\mathbb{Z})$","authors":"Tufan Özdi̇n, Günseli Gümüşel","doi":"10.55730/1300-0098.3443","DOIUrl":null,"url":null,"abstract":": In this paper, we characterize the idempotency, cleanness, and unit-regularity of the commutator [ E 1 , E 2 ] = E 1 E 2 − E 2 E 1 involving idempotents E 1 , E 2 in certain subrings of M 2 ( Z )","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Turkish Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.55730/1300-0098.3443","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
: In this paper, we characterize the idempotency, cleanness, and unit-regularity of the commutator [ E 1 , E 2 ] = E 1 E 2 − E 2 E 1 involving idempotents E 1 , E 2 in certain subrings of M 2 ( Z )
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The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research
Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics.
Contribution is open to researchers of all nationalities.
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