{"title":"什么时候素子模是素理想?","authors":"Mohamed Khalifa","doi":"10.59277/mrar.2023.25.75.1.167","DOIUrl":null,"url":null,"abstract":"\"We study commutative ring extensions R ⊂ S in which every ideal of S that is a prime R-submodule of S is prime.\"","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"6 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"WHEN PRIME SUBMODULES ARE PRIME IDEALS?\",\"authors\":\"Mohamed Khalifa\",\"doi\":\"10.59277/mrar.2023.25.75.1.167\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\\"We study commutative ring extensions R ⊂ S in which every ideal of S that is a prime R-submodule of S is prime.\\\"\",\"PeriodicalId\":49858,\"journal\":{\"name\":\"Mathematical Reports\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Reports\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.59277/mrar.2023.25.75.1.167\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Reports","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.59277/mrar.2023.25.75.1.167","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
期刊介绍:
The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500.
Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.