Discussiones Mathematicae, J. C. Grace, J.Veninstine Vivik, P.S.Divya
{"title":"偏集中f素数理想的刻画","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":"{\"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}","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}
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.