Characterizations of ordered semigroups by the properties of their fuzzy ideals

被引:29
|
作者
Shabir, Muhammad [2 ]
Khan, Asghar [1 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Abbottabad, Pakistan
[2] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
关键词
Ordered semigroups; Regular; intra-regular and right weakly regular ordered semigroups; Ideals; quasi-ideals and bi-ideals; Fuzzy ideals; fuzzy quasi-ideals and fuzzy bi-ideals; BI-IDEALS; SUBMODULES; RINGS; SETS;
D O I
10.1016/j.camwa.2009.06.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we characterize different classes of ordered semigroups by the properties of their ideals, quasi-ideals and bi-ideals. We also characterize these classes by the properties of their fuzzy ideals, fuzzy quasi-ideals and fuzzy bi-ideals. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:539 / 549
页数:11
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