{"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}
引用次数: 0
Abstract
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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