{"title":"沿理想双杂化环的sitt环性质","authors":"A. Aruldoss, C. Selvaraj","doi":"10.56947/gjom.v15i1.1382","DOIUrl":null,"url":null,"abstract":"Let f: A → B and g: A → C be two ring homomorphisms and let J and J' be two ideals of B and C, respectively, such that f-1(J) = g-1(J'). In this paper, we give a characterization for the amalgamation of A with B along J with respect to f (denoted by A ⋈f J) to be a SITT-ring and also we give a characterization for the bi-amalgamation of A with (B, C) along (J, J') with respect to (f, g) (denoted by A ⋈f,g (J, J')) to be a SITT-ring. We also give some characterizations for strong weakly SIT-rings.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"SITT-ring properties in bi-amalgamated rings along ideals\",\"authors\":\"A. Aruldoss, C. Selvaraj\",\"doi\":\"10.56947/gjom.v15i1.1382\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let f: A → B and g: A → C be two ring homomorphisms and let J and J' be two ideals of B and C, respectively, such that f-1(J) = g-1(J'). In this paper, we give a characterization for the amalgamation of A with B along J with respect to f (denoted by A ⋈f J) to be a SITT-ring and also we give a characterization for the bi-amalgamation of A with (B, C) along (J, J') with respect to (f, g) (denoted by A ⋈f,g (J, J')) to be a SITT-ring. We also give some characterizations for strong weakly SIT-rings.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-08-22\",\"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.v15i1.1382\",\"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.v15i1.1382","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
SITT-ring properties in bi-amalgamated rings along ideals
Let f: A → B and g: A → C be two ring homomorphisms and let J and J' be two ideals of B and C, respectively, such that f-1(J) = g-1(J'). In this paper, we give a characterization for the amalgamation of A with B along J with respect to f (denoted by A ⋈f J) to be a SITT-ring and also we give a characterization for the bi-amalgamation of A with (B, C) along (J, J') with respect to (f, g) (denoted by A ⋈f,g (J, J')) to be a SITT-ring. We also give some characterizations for strong weakly SIT-rings.
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