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L-fuzzy ideals in a skew lattice

Mahmood Bakhshi, Mohadese Nazifi

Abstract



In this paper, we introduce the notions of Lattice-valued fuzzy (skew) ideals in a skew lattice. We give some basic properties and the relationships between these fuzzy ideals. Specially, we prove that the set of all Lattice-valued fuzzy ideals is a complete lattice. We also introduce the notions of Lattice-valued fuzzy prime (skew) ideals and give some properties and characterizations of them. We give a correspondence theorem, as well and also establish the Prime Ideal Theorem for Lattice-valued fuzzy ideals.

Keywords


Skew lattice, fuzzy ideal, Prime ideal theorem.

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