{"title":"On graded trinil clean rings","authors":"Hanan Choulli, Omar Kchit, Hakima Mouanis, Ismail Namrok","doi":"10.1007/s11565-022-00450-5","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, we define a graded trinil clean ring graded by a group. The behavior of the property of being trinil clean is studied in ring constructions of graded group rings, graded matrix rings, and trivial ring extensions. Some sufficient conditions for these rings to be graded trinil clean are given.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"69 2","pages":"473 - 482"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-022-00450-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 2
Abstract
In this article, we define a graded trinil clean ring graded by a group. The behavior of the property of being trinil clean is studied in ring constructions of graded group rings, graded matrix rings, and trivial ring extensions. Some sufficient conditions for these rings to be graded trinil clean are given.
期刊介绍：
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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