Fuzzy h-ideals of hemirings
نویسندگان
چکیده
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 f of a hemiring S is a prime fuzzy left (right) h-ideal of S if and only if f is two-valued, f(0) = 1, and the set of all x in S such that f(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. 2006 Elsevier Inc. All rights reserved. MSC: 16Y60; 13E05; 03G25
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ورودعنوان ژورنال:
- Inf. Sci.
دوره 177 شماره
صفحات -
تاریخ انتشار 2007