{"title":"(D +I, K +I)什么时候是S-Laskerian对?","authors":"S. Visweswaran","doi":"10.56947/gjom.v14i1.992","DOIUrl":null,"url":null,"abstract":"Let T be a strongly Laskerian domain containing a field K as a subring. Let I be a non-zero proper ideal of T. Let D be a subring of K. The aim of this article is to determine necessary and sufficient conditions in order that (D + I, K + I) to be an S-Laskerian pair.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"When is (D + I, K +I) an S-Laskerian pair?\",\"authors\":\"S. Visweswaran\",\"doi\":\"10.56947/gjom.v14i1.992\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let T be a strongly Laskerian domain containing a field K as a subring. Let I be a non-zero proper ideal of T. Let D be a subring of K. The aim of this article is to determine necessary and sufficient conditions in order that (D + I, K + I) to be an S-Laskerian pair.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"37 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-23\",\"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.v14i1.992\",\"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.v14i1.992","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
设T是包含域K作为子域的强拉斯克定义域。设I是t的非零固有理想,设D是K的子理想,本文的目的是确定(D + I, K + I)是S-Laskerian对的充分必要条件。
Let T be a strongly Laskerian domain containing a field K as a subring. Let I be a non-zero proper ideal of T. Let D be a subring of K. The aim of this article is to determine necessary and sufficient conditions in order that (D + I, K + I) to be an S-Laskerian pair.