Authors
Jianming Zhan, Wiesław A Dudek
Publication date
2007/2/1
Journal
Information Sciences
Volume
177
Issue
3
Pages
876-886
Publisher
Elsevier
Description
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 ζ of a hemiring S is a prime fuzzy left (right) h-ideal of S if and only if ζ is two-valued, ζ(0)=1, and the set of all x in S such that ζ(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.
Total citations
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Scholar articles
J Zhan, WA Dudek - Information sciences, 2007