Irredundant n-valued Moisil algebras
نویسندگان
چکیده
منابع مشابه
n×m−valued Lukasiewicz-Moisil algebras with two modal operators
In 2000, Figallo and Sanza introduced the n×m−valued Lukasiewicz-Moisil algebras, which are a particular case of Matrix Lukasiewicz algebras, and a nontrivial generalization of n−valued Lukasiewicz-Moisil algebras. Here we start a research on the class of n × m−valued Lukasiewicz-Moisil algebras endowed with two modal operators (or 2mLMn×m−algebras). These algebras constitute a common generaliz...
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We introduce two chains of unary operations in the MVn algebra of Revaz Grigolia; they will be used in establishing many connections between these algebras and n-valued Lukasiewicz-Moisil algebras (LMn algebras for short). The study has four parts. It is by and large self-contained. The main result of the rst part is that MV4 algebras coincide with LM4 algebras. The larger class of \relaxed"-MV...
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We define a concept of probability on an n-valued Lukasiewicz-Moisil algebra and we present some basic properties. The main result is an extension theorem for continuous probabilities, which is already known for probabilities defined on Boolean algebras and MV-algebras. © 1998 Elsevier Science Inc. All rights reserved.
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It is shown that every uncountable Boolean algebra A contains an uncountable subset / such that no a of / is in the subalgebra generated by I\{a} using an additional axiom of set theory. It is also shown that a use of some such axiom is necessary. A subset / of a Boolean algebra A is irredundant if no proper subset of / generates the same subalgebra as /, or equivalently, if no a of / is in the...
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We introduce the tense LMn-algebras and the tense MV algebras as algebraic structures for some tense many-valued logics. A representation theorem for tense LMn-algebras is proved and the polynomially equivalence between tense LM3-algebras (resp. tense LM4-algebras) and tense MV3-algebras (resp. tense MV4-algebras) is established. We study the pairs of dually-conjugated operations on MV -algebra...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1988
ISSN: 0012-365X
DOI: 10.1016/0012-365x(88)90100-8