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Tense pseudo MV-algebras

2015 4th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), 2015
In this paper, we introduce the notion of tense operators on pseudo MV-algebras and give some properties and related results. We also introduce the notions of tense filter and tense homomorphism in tense pseudo MV-algebras and give some homomorphism theorems.
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LocalMV-algebras

Rendiconti del Circolo Matematico di Palermo, 1993
A classification of local MV-algebras is obtained. Specifically, these are either locally finite, perfect, or neither. An MV-algebra is local if and only if it has a unique maximal ideal. For a totally ordered MV- algebra \(T\), a necessary and sufficient condition for \(T/\text{Rad }T\) to be a retract of \(T\) is obtained.
L. P. Belluce   +2 more
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MV-algebras with pseudo MV-valuations

Journal of Intelligent & Fuzzy Systems, 2019
The concept of pseudo MV-valuations is proposed in the paper, and some related characterizations of pseudo MV-valuations are investigated. The relationships between the pseudo MV-valuations of homomorphic and isomorphic MV-algebras and the relationships between their kernels are presented.
Yang, Yongwei, Zhu, Kuanyun
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On Product MV-Algebras

Czechoslovak Mathematical Journal, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hyperfinite MV-algebras

Journal of Pure and Applied Algebra, 2013
The paper concerns hyperfinite MV-algebras, which are infinite models of the theory of finite MV-algebras. MV-algebras were introduced in the fifties by \textit{C. C. Chang} in [Trans. Am. Math. Soc. 88, 467--490 (1958; Zbl 0084.00704)] as the algebraic counterpart of Łukasiewicz infinite-valued logic. The article is divided into eight sections, and as
Belluce, Lawrence Peter   +2 more
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On archimedean MV-algebras

Czechoslovak Mathematical Journal, 1998
An \(MV\)-algebra \(\mathcal A\) constructed by means of an abelian lattice ordered group \(G\) with a strong unit (\(G\) is uniquely determined by \(\mathcal A\)) is called archimedean (or semisimple) if \(G\) is archimedean. A non-empty subset \(\{a_j\mid j\in J\}\) of \(\mathcal A\) is said to be orthogonal if \(a_i\wedge a_j=0\) for all distinct ...
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On Free MV-Algebras

Czechoslovak Mathematical Journal, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Vectorial MV-algebras

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Noje, D., Bede, B.
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EMV-Algebras—Extended MV-Algebras

2020
The present paper is a survey on a new kind of algebras, called EMV-algebras, generalizing both MV-algebras and generalized Boolean algebras. The survey is based on our papers [10, 11, 12, 13]. For these algebras a top element is not assumed a priori. Every EMV-algebra can be covered by a system of MV-algebras where each of them uses the restriction of
Anatolij Dvurečenskij, Omid Zahiri
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Quasi-MV* algebras: a generalization of MV*-algebras

Soft Computing, 2022
Yingying Jiang, Wenjuan Chen
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