{"title":"沿理想混合代数中的弱McCoy性质","authors":"Mounir El Ouarrachi, Abdelmonaim Bouchikhi","doi":"10.56947/gjom.v14i2.1042","DOIUrl":null,"url":null,"abstract":"Let f : A → B be a ring homomorphism and J be an ideal of B. In this note, we investigate the transfer of the weak McCoy property to the amalgamation of A with B along J with respect to f (denoted by A⋈fJ) introduced and studied by D’Anna, Finocchiaro and Fontana in 2009. Our aim is to provide conditions under which A⋈fJ is a left weak McCoy (resp. right weak McCoy, McCoy) ring. Our results enrich the literature with new families of left weak McCoy (resp. right weak McCoy, weak McCoy) rings.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weak McCoy property in amalgamated algebra along ideal\",\"authors\":\"Mounir El Ouarrachi, Abdelmonaim Bouchikhi\",\"doi\":\"10.56947/gjom.v14i2.1042\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let f : A → B be a ring homomorphism and J be an ideal of B. In this note, we investigate the transfer of the weak McCoy property to the amalgamation of A with B along J with respect to f (denoted by A⋈fJ) introduced and studied by D’Anna, Finocchiaro and Fontana in 2009. Our aim is to provide conditions under which A⋈fJ is a left weak McCoy (resp. right weak McCoy, McCoy) ring. Our results enrich the literature with new families of left weak McCoy (resp. right weak McCoy, weak McCoy) rings.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gulf Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/gjom.v14i2.1042\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v14i2.1042","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Weak McCoy property in amalgamated algebra along ideal
Let f : A → B be a ring homomorphism and J be an ideal of B. In this note, we investigate the transfer of the weak McCoy property to the amalgamation of A with B along J with respect to f (denoted by A⋈fJ) introduced and studied by D’Anna, Finocchiaro and Fontana in 2009. Our aim is to provide conditions under which A⋈fJ is a left weak McCoy (resp. right weak McCoy, McCoy) ring. Our results enrich the literature with new families of left weak McCoy (resp. right weak McCoy, weak McCoy) rings.
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