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Closure operators on BL-algebras. (English) Zbl 1101.03316

Summary: We study relationships between closure operators and BL-algebras. We investigate the properties of closure operators and BL-homomorphisms on BL-algebras. We show that the image of a closure operator on a BL-algebra is isomorphic to a quotient BL-algebra.

MSC:

03B52 Fuzzy logic; logic of vagueness
06D35 MV-algebras
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
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