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The notion of quantale, which designates a complete lattice
equipped with an associative binary operation distributing over arbitrary
joins, was used for the first time by Mulvey in 1986. In this paper, we
present (α, β)-fuzzy (subquantales) ideals in quantales, where α, β may
be one of these ∈γ, qδ, ∈γ ∨qδ and ∈γ ∧qδ. Special attension is considered to (∈γ, ∈γ ∨qδ)-fuzzy (subquantales) ideals. Some characterizations about (∈γ, ∈γ ∨qδ)-fuzzy prime and semi-prime ideals are also
proved
Saqib Mazher Qurashi, Muhammad Shabir. (2019) Characterizations of Quantales by the Properties of their (∈γ,∈γ ∨qδ) -Fuzzy (Subquantales) Ideals, Punjab University Journal of Mathematics, Volume 51, Issue 8.
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