منابع مشابه
On derivations of MV-algebras
In this paper, we investigate related properties of some particular derivations and give some characterizations of additive derivations in MV-algebras. Then, we obtain that the fixed point set of additive derivations is still an MV-algebra. Also, we study Boolean additive derivations and their adjoint derivations. In particular, we get that the fixed point set of Boolean addition derivations an...
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 کاملOuter Measure on MV-algebras
In this paper we study an outer measure on MV -algebras. In Section 1 the definition of MV -algebra and Mundici theorem are remind. In Section 2 there is defined an outer measure, measurable elements and there is proved Choquet lema for this structure. In conclusion some properties of measurable elements are resumed.
متن کاملOn some classes of expansions of ideals in $MV$-algebras
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 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: 2007
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-007-0058-4