Discussiones Mathematicae, J. C. Grace, J.Veninstine Vivik, P.S.Divya
{"title":"Characterizations of f-prime ideals in posets","authors":"Discussiones Mathematicae, J. C. Grace, J.Veninstine Vivik, P.S.Divya","doi":"10.7151/dmgaa.1437","DOIUrl":null,"url":null,"abstract":"10 In this article, we look at the ideas of f -prime ideals and f -semi-prime 11 ideals of posets, as well as the many features of f -primeness and f -semi- 12 primeness in posets. Classifications of f semi-prime ideals in posets are 13 derived, as well as representations of a f -semi-prime ideal to be f -prime. 14 Furthermore, the f -prime ideal separation theorem is addressed.","PeriodicalId":36816,"journal":{"name":"Discussiones Mathematicae - General Algebra and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discussiones Mathematicae - General Algebra and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7151/dmgaa.1437","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: 0
Abstract
10 In this article, we look at the ideas of f -prime ideals and f -semi-prime 11 ideals of posets, as well as the many features of f -primeness and f -semi- 12 primeness in posets. Classifications of f semi-prime ideals in posets are 13 derived, as well as representations of a f -semi-prime ideal to be f -prime. 14 Furthermore, the f -prime ideal separation theorem is addressed.