The semiring-theoretic approach to MV-algebras: A survey
نویسندگان
چکیده
منابع مشابه
Semiring and semimodule issues in MV-algebras
In this paper we propose a semiring-theoretic approach to MV-algebras based on the connection between such algebras and idempotent semirings established in [11] and improved in [4] — such an approach naturally imposing the introduction and study of a suitable corresponding class of semimodules, called MV-semimodules. Besides some basic yet fundamental results of more general interest for semiri...
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15 صفحه اولMV* - 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 کاملAn Algebraic Approach to States on MV-algebras
In this paper we will introduce the variety of state MV-algebras by enlarging the language of MV-algebras with an unary operator σ, and by adding equations ensuring σ to satisfy some basic properties of a state on an MV-algebra in the sense of [4]. The main result of this paper says us that there is a standard way to define a state MV-algebra starting from a state on an MV-algebra and vice-vers...
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2015
ISSN: 0165-0114
DOI: 10.1016/j.fss.2015.08.026