Fuzzy h-ideals of hemirings

被引：108
|
作者：
Zhan, Jianming [1 ]
Dudek, Wieslaw A.
机构：
[1] Hubei Inst National, Dept Math, Enshi 445000, Hubei Province, Peoples R China
[2] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland
来源：
INFORMATION SCIENCES | 2007年 / 177卷 / 03期
基金：
中国国家自然科学基金;
关键词：
hemiring; H-hemiregular hemiring; fuzzy h-ideal; prime fuzzy h-ideal; normal fuzzy h-ideal;
D O I：
10.1016/j.ins.2006.04.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A characterization of an h-hemiregular hemiring in terms of a fuzzy h-ideal is provided. Some properties of prime fuzzy h-ideals of h-hemiregular hemirings are investigated. It is proved that a fuzzy subset zeta of a hemiring S is a prime fuzzy left (right) h-ideal of S if and only if zeta is two-valued, zeta(0) = 1, and the set of all x in S such that zeta(x) = 1 is a prime (left) right h-ideal of S. Finally, the similar properties for maximal fuzzy left (right) h-ideals of hemirings are considered. (C) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：876 / 886
页数：11
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