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Fuzzy semiprime ideals in semigroups |
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| Authors: | Nobuaki Kuroki |
| Affiliation: | Department of Mathematics, Joetsu University of Education, Joetsu, Niigata-ken, Japan |
| Abstract: | In this paper we shall introduce the notion of fuzzy semiprimality in a semigroup, which is an extension of semiprimality in it, and characterize a semigroup that is a semilattice of simple semigroups in terms of fuzzy semiprimality. |
| Keywords: | Fuzzy ideal Fuzzy bi-ideal Fuzzy interior ideal Semiprime Fuzzy semiprime Simple semigroup Intraregular semigroup Semilattice of simple semigroups |
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