{"title":"关于与单似体相关的α-偏McCoy理想","authors":"V. Aghapouramin, M. Nikmehr","doi":"10.1080/25742558.2018.1564169","DOIUrl":null,"url":null,"abstract":"Abstract Let α be an endomorphism of an arbitrary ring with identity. The aim of this article is to introduce the ideal of as an α-skew M-McCoy which is a generalization of α-rigid ideals and McCoy ideals and to investigate its properties. α-skew M-McCoy is an α-skew McCoy ideals relative to a monoid . The findings show that if for some positive integer and be an α-skew M-McCoy left ideal of then is α-skew M-McCoy left ideal of . Also if be a locally finite ring and be an α-skew M-McCoy left ideal of , then is α-semicommutative left ideal of .","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.1000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1564169","citationCount":"0","resultStr":"{\"title\":\"On α-skew McCoy ideals related to a monoid\",\"authors\":\"V. Aghapouramin, M. Nikmehr\",\"doi\":\"10.1080/25742558.2018.1564169\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Let α be an endomorphism of an arbitrary ring with identity. The aim of this article is to introduce the ideal of as an α-skew M-McCoy which is a generalization of α-rigid ideals and McCoy ideals and to investigate its properties. α-skew M-McCoy is an α-skew McCoy ideals relative to a monoid . The findings show that if for some positive integer and be an α-skew M-McCoy left ideal of then is α-skew M-McCoy left ideal of . Also if be a locally finite ring and be an α-skew M-McCoy left ideal of , then is α-semicommutative left ideal of .\",\"PeriodicalId\":92618,\"journal\":{\"name\":\"Cogent mathematics & statistics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/25742558.2018.1564169\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cogent mathematics & statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/25742558.2018.1564169\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cogent mathematics & statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/25742558.2018.1564169","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract Let α be an endomorphism of an arbitrary ring with identity. The aim of this article is to introduce the ideal of as an α-skew M-McCoy which is a generalization of α-rigid ideals and McCoy ideals and to investigate its properties. α-skew M-McCoy is an α-skew McCoy ideals relative to a monoid . The findings show that if for some positive integer and be an α-skew M-McCoy left ideal of then is α-skew M-McCoy left ideal of . Also if be a locally finite ring and be an α-skew M-McCoy left ideal of , then is α-semicommutative left ideal of .