ON FUZZY PRIMARY AND FUZZY QUASI-PRIMARY IDEALS IN LA-SEMIGROUPS

被引：1
|
作者：
Yiarayong, Pairote [1 ]
机构：
[1] Pibulsongkram Rajabhat Univ, Dept Math, Fac Sci & Technol, Phitsanulok 65000, Thailand
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 04期
关键词：
LA-semigroup; fuzzy primary ideal; weakly fuzzy quasi-primary ideal; fuzzy completely primary ideal; fuzzy quasi-primary ideal;
D O I：
10.46793/KgJMat2204.617Y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to introduce the notion of a weakly fuzzy quasi-primary ideals in LA-semigroups, we study fuzzy primary, fuzzy quasi-primary, fuzzy completely primary, weakly fuzzy primary and weakly fuzzy quasi-primary ideals in LA-semigroups. Some characterizations of weakly fuzzy primary and weakly fuzzy quasi-primary ideals are obtained. Moreover, we investigate relationships between fuzzy completely primary and weakly fuzzy quasi-primary ideals in LA-semigroups. Finally we show that a fuzzy left ideal f is a weakly fuzzy quasi-primary ideal of S-2 if and only if S-1 x f is a weakly fuzzy quasi-primary ideal of S-1 x S-2.
引用
收藏
页码：617 / 633
页数：17
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