J-логики и соответствующие им классы алгебр.

Abstract

In this paper some large class of many-valued logics with J-operators is considered Logics from this class are called J-definable and J-compact. For any J-defmable J-compact logic one can construct a class of appropriate algebras. This class of algebras plays (for its own logic) the same role as the class of Boolean algebras for the classical two-valued logic. The main result of this paper is developing a general method of defining and axiomatizing the corresponding class of algebras for any J-definable J-compact logic.