{"title":"关于单子的不可还原理想的一些结果","authors":"Amartya Goswami","doi":"arxiv-2409.09757","DOIUrl":null,"url":null,"abstract":"The purpose of this note is to study some algebraic properties of irreducible\nideals of monoids. We establish relations between irreducible, prime, and\nsemiprime ideals. We explore some properties of irreducible ideals in local,\nNoetherian, and Laskerian monoids.","PeriodicalId":501136,"journal":{"name":"arXiv - MATH - Rings and Algebras","volume":"64 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some results on irreducible ideals of monoids\",\"authors\":\"Amartya Goswami\",\"doi\":\"arxiv-2409.09757\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this note is to study some algebraic properties of irreducible\\nideals of monoids. We establish relations between irreducible, prime, and\\nsemiprime ideals. We explore some properties of irreducible ideals in local,\\nNoetherian, and Laskerian monoids.\",\"PeriodicalId\":501136,\"journal\":{\"name\":\"arXiv - MATH - Rings and Algebras\",\"volume\":\"64 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Rings and Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.09757\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09757","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The purpose of this note is to study some algebraic properties of irreducible
ideals of monoids. We establish relations between irreducible, prime, and
semiprime ideals. We explore some properties of irreducible ideals in local,
Noetherian, and Laskerian monoids.
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