ß-FUZZY FILTERS OF STONE ALMOST DISTRIBUTIVE LATTICES

被引：1

作者：

Alemayehu, Teferi Getachew ^{[1
]}

Gubena, Yeshiws Mebrat ^{[2
]}

机构：

[1] Debre Berhan Univ, Coll Nat & Computat Sci, Dept Math, Debre Berhan, Ethiopia

[2] Debre Tabor Univ, Coll Nat & Computat Sci, Dept Math, Debre Tabor, Ethiopia

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2022年 / 40卷 / 3-4期

关键词：

Almost distributive lattices; Stone almost distributive lattices; prime ss-fuzzy filter; prime fuzzy ideal; booster; isomorphism; PRIME SPECTRUM; IDEALS;

D O I：

10.14317/jami.2022.445

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we studied on ss-fuzzy filters of Stone almost distributive lattices. An isomorphism between the lattice of ss-fuzzy filters of a Stone ADL A onto the lattice of fuzzy ideals of the set of all boosters of A is established. The fact that any ss-fuzzy filter of A is an e-fuzzy filter of A is proved. We discuss on some properties of prime ss-fuzzy filters and some topological concepts on the collection of prime ss-fuzzy filters of a Stone ADL. Further we show that the collection T = {X-ss(lambda) : lambda is a fuzzy ideal of A} is a topology on FSpec(ss)(A) where X-ss(lambda) = {mu epsilon FSpec(ss)(A) : lambda not subset of mu}.

引用

页码：445 / 460

页数：16

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