Higher Degrees of Distributivity in MV-Algebras
نویسندگان
چکیده
منابع مشابه
MV* - 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...
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In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (tau,sigma)- $primary, $ (tau,sigma)$-obstinate and $ (tau,sigma)$-Boolean in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (tau,sigma)$-obstinate ideal of an $ MV-$ algebra is $ (tau,sigma)$-primary and $ (tau,sigma)$-Boolean. In particular, we define an expansion $ ...
متن کاملDistributivity and associativity in effect algebras
We prove “large associativity” of the partial sum in effect algebras and present an overview of distributivity-like properties of partial operations ⊕ and in effect algebras with respect to (possibly infinite) suprema and infima and vice versa generalizing several previous results.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2003
ISSN: 0011-4642,1572-9141
DOI: 10.1023/b:cmaj.0000024510.99374.e3