Fuzzy Prime And Semiprime S-Subacts Over Monoids
AbstractIn this paper, we introduce the notions of fuzzy prime and fuzzy semiprime S-subacts, where S is a monoid with a zero and S-acts are representations of S. We establish their basic properties and prove some fundamental results in a fuzzy context, analogous to the results in ordinary semigroups and S-acts. It is shown, among other results, that if a fuzzy right S-subact is fuzzy irreducible, then the difference between fuzzy prime and fuzzy semiprime disappears.
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Bibliographic InfoArticle provided by World Scientific Publishing Co. Pte. Ltd. in its journal New Mathematics and Natural Computation.
Volume (Year): 03 (2007)
Issue (Month): 01 ()
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Web page: http://www.worldscinet.com/nmnc/nmnc.shtml
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