منابع مشابه
Free MV-algebras
We describe n-generated free MV -algebras as MV-algebras having the lattice reduct which is a direct limit in the category of distributive lattices.
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My talk is based on article [1]. Our aim is to give a unified topological approach to several results about a certain type of fuzzy measures, namely T∞−valuations (2) on clans of fuzzy sets (1) (in the sense of Butnariu and Klement [2]). We will transfer the method of [3], used to study FN-topologies (4) and measures on Boolean rings, to the study of T∞−valuations. So we need, for the domain of...
متن کاملA discrete representation of free MV-algebras
The variety of MV-algebras is the equivalent algebraic semantics of the infinitely-valued Lukasiewicz logic [1], and MVn-algebras are algebraic models of the Lukasiewicz logic with n truth values (2 ≤ n < ω). Recall that an algebra A ∈ V is said to be a free algebra in a variety V, if there exists a set A0 ⊂ A such that A0 generates A and every mapping f from A0 to any algebra B ∈ V can be exte...
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 کاملBernoulli Automorphisms of Finitely Generated Free Mv-algebras
MV-algebras can be viewed either as the Lindenbaum algebras of Lukasiewicz infinite-valued logic, or as unit intervals [0, u] of lattice-ordered abelian groups in which a strong order unit u > 0 has been fixed. They form an equational class, and the free n-generated free MV-algebra is representable as an algebra of piecewise-linear continuous functions with integer coefficients over the unit n-...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2008
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870802104394