{"title":"On 2-prime ideals in commutative semigroups","authors":"Biswaranjan Khanra, M. Mandal","doi":"10.47743/anstim.2022.00004","DOIUrl":null,"url":null,"abstract":"We introduce and study the concepts of 2-prime and weakly 2-prime ideals in a commutative semigroup. We characterize semigroups where 2-prime ideals are prime and also characterize semigroups where every ideal is weakly 2-prime.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47743/anstim.2022.00004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
We introduce and study the concepts of 2-prime and weakly 2-prime ideals in a commutative semigroup. We characterize semigroups where 2-prime ideals are prime and also characterize semigroups where every ideal is weakly 2-prime.
期刊介绍:
This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.