Direct product decomposition of $MV$-algebras
نویسندگان
چکیده
منابع مشابه
Continuous approximations of MV-algebras with product and product residuation
Recently, MV -algebras with product have been investigated from different points of view. In particular, in [EGM01], a variety resulting from the combination of MV -algebras and product algebras (see [H98]) has been introduced. The elements of this variety are called LΠ-algebras. Even though the language of LΠ-algebras is strong enough to describe the main properties of product and of Lukasiewi...
متن کاملMV* - Algebras
In this paper we make an algebraic study of the variety of M V * –algebras introduced by C. C.Chang as an algebraic counterpart for a logic with positive and negative truth values. We build the algebraic theory of M V * –algebras within its own limits using a concept of ideal and of prime ideal that are very naturally related to the corresponding concepts in –groups. The main results are a subd...
متن کاملDerivations of MV-Algebras
In his classical paper 1 , Chang invented the notion of MV-algebra in order to provide an algebraic proof of the completeness theorem of infinite valued Lukasiewicz propositional calculus. Recently, the algebraic theory of MV-algebras is intensively studied, see 2–5 . The notion of derivation, introduced from the analytic theory, is helpful to the research of structure and property in algebraic...
متن کاملContinuous approximations of MV-algebras with product and product residuation: a category-theoretic equivalence
In [9] a new class of MV -algebras with product, called LΠqalgebras, has been introduced. In these algebras, the discontinuous product residuation →π defined in [4] is replaced by a continuous approximation of it. These algebras seem to be a good compromise between the need of expressiveness and the need of continuity of connectives. Following a good tradition in many-valued logic (see e.g. [10...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1994
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1994.128490