Quasi-A-ideals and fuzzy A-ideals in semigroups

被引:19
|
作者
Wattanatripop, Khwancheewa [1 ]
Chinram, Ronnason [2 ,3 ]
Changphas, Thawhat [1 ,3 ]
机构
[1] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
[2] Prince Songkla Univ, Dept Math & Stat, Algebra & Applicat Res Unit, Hat Yai 90112, Songkhla, Thailand
[3] Commiss Higher Educ, Ctr Excellence Math, Si Ayuthaya Rd, Bangkok 10400, Thailand
关键词
A-ideals; Quasi-A-ideals; Fuzzy A-ideals; Minimal A-ideals;
D O I
10.1080/09720529.2018.1468608
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Steinfield defined the notion of quasi-ideals of semigroups in 1956. Grosek and Satko defined the notion of A-ideals of semigroups in 1980. In this paper, we define the notion of quasi-A-ideals by using the concept of A-ideals and quasi-ideals of semigroups. Moreover, we introduce the notion of fuzzy A-ideals by using the concept of A-ideals and fuzzy ideals of semigroups.
引用
收藏
页码:1131 / 1138
页数:8
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