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Rough prime ideals and rough fuzzy prime ideals in semigroups. (English) Zbl 1088.20041

Summary: We introduce the notions of rough prime ideals and rough fuzzy prime ideals in a semigroup, and give some properties of such ideals. Also, we discuss the relations between the upper [lower] rough prime ideals and the upper [lower] approximations of their homomorphic images.

MSC:

20N25 Fuzzy groups
20M12 Ideal theory for semigroups
20E36 Automorphisms of infinite groups
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References:

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