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Convergences in perfect BL-algebras. (English) Zbl 1143.03036

The aim of this paper is to investigate some concepts of convergence in the class of perfect BL algebras. More precisely, the author studies similarity convergence and convergence with a fixed regulator for perfect BL algebras. The main result is a construction of the Cauchy completion of a perfect BL algebra.

MSC:

03G25 Other algebras related to logic
03B52 Fuzzy logic; logic of vagueness
06D35 MV-algebras
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