{"title":"格的模糊弱2吸收理想","authors":"S. Nimbhorkar, Y. Patil","doi":"10.7151/dmgaa.1389","DOIUrl":null,"url":null,"abstract":"Abstract As a generalization of the concept of a weakly prime ideal, we introduce the concepts of a fuzzy weak prime ideal, a fuzzy weakly 2-absorbing ideal of a lattice. Some results of fuzzy weakly 2-absorbing ideals and fuzzy weakly primary ideals are proved. We also introduce and study fuzzy weakly 2-absorbing ideals in a product of lattices.","PeriodicalId":36816,"journal":{"name":"Discussiones Mathematicae - General Algebra and Applications","volume":"42 1","pages":"255 - 277"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Fuzzy Weakly 2-Absorbing Ideals of a Lattice\",\"authors\":\"S. Nimbhorkar, Y. Patil\",\"doi\":\"10.7151/dmgaa.1389\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract As a generalization of the concept of a weakly prime ideal, we introduce the concepts of a fuzzy weak prime ideal, a fuzzy weakly 2-absorbing ideal of a lattice. Some results of fuzzy weakly 2-absorbing ideals and fuzzy weakly primary ideals are proved. We also introduce and study fuzzy weakly 2-absorbing ideals in a product of lattices.\",\"PeriodicalId\":36816,\"journal\":{\"name\":\"Discussiones Mathematicae - General Algebra and Applications\",\"volume\":\"42 1\",\"pages\":\"255 - 277\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discussiones Mathematicae - General Algebra and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7151/dmgaa.1389\",\"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.1389","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Abstract As a generalization of the concept of a weakly prime ideal, we introduce the concepts of a fuzzy weak prime ideal, a fuzzy weakly 2-absorbing ideal of a lattice. Some results of fuzzy weakly 2-absorbing ideals and fuzzy weakly primary ideals are proved. We also introduce and study fuzzy weakly 2-absorbing ideals in a product of lattices.
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