{"title":"Invo-k-clean环","authors":"F. Rashedi","doi":"10.31926/but.mif.2022.2.64.2.12","DOIUrl":null,"url":null,"abstract":"In this paper, we offer a new generalization of the invo-clean ring that is called invo k-clean ring. Let 2 ≤ k ∈ ℕ }. Then a ring R is called invo k-clean if for each a ∈ R there exist v ∈ Inv(R) and e ∈ Pk(R) such that a = u + e. We obtain some properties of invo k-clean rings.","PeriodicalId":53266,"journal":{"name":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Invo-k-clean rings\",\"authors\":\"F. Rashedi\",\"doi\":\"10.31926/but.mif.2022.2.64.2.12\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we offer a new generalization of the invo-clean ring that is called invo k-clean ring. Let 2 ≤ k ∈ ℕ }. Then a ring R is called invo k-clean if for each a ∈ R there exist v ∈ Inv(R) and e ∈ Pk(R) such that a = u + e. We obtain some properties of invo k-clean rings.\",\"PeriodicalId\":53266,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov Series V Economic Sciences\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Transilvania University of Brasov Series V Economic Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31926/but.mif.2022.2.64.2.12\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2022.2.64.2.12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文给出了invo-clean环的一种新推广，称为invo k-clean环。设2≤k∈k}。如果对每个a∈R存在v∈Inv(R)和e∈Pk(R)使得a = u + e，则环R称为invo k-clean。我们得到了invo k-clean环的一些性质。
In this paper, we offer a new generalization of the invo-clean ring that is called invo k-clean ring. Let 2 ≤ k ∈ ℕ }. Then a ring R is called invo k-clean if for each a ∈ R there exist v ∈ Inv(R) and e ∈ Pk(R) such that a = u + e. We obtain some properties of invo k-clean rings.
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