منابع مشابه
Gödel spaces and perfect MV-algebras
Article history: Received 30 October 2014 Received in revised form 24 March 2015 Accepted 11 May 2015 Available online 15 May 2015
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 کاملGeneralized MV-algebras
We generalize the notion of an MV-algebra in the context of residuated lattices to include noncommutative and unbounded structures. We investigate a number of their properties and prove that they can be obtained from lattice-ordered groups via a truncation construction that generalizes the Chang–Mundici Γ functor. This correspondence extends to a categorical equivalence that generalizes the one...
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...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2004
ISSN: 0011-4642,1572-9141
DOI: 10.1023/b:cmaj.0000027259.40606.48