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
收藏
页码：445 / 460
页数：16
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