Results 1 to 10 of about 1,656 (236)

On MV-algebras of non-linear functions [PDF]

Categories and General Algebraic Structures with Applications, 2017
In this paper, the main results are:a study of the finitely generated MV-algebras of continuous functions from the n-th power of the unit real interval I to I;a study of Hopfian MV-algebras; anda category-theoretic study of the map sending an MV-algebra ...
Antonio Di Nola, Giacomo Lenzi, Gaetano Vitale   +2 more
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Study of MV-algebras via derivations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
The main goal of this paper is to give some representations of MV-algebras in terms of derivations. In this paper, we investigate some properties of implicative and difference derivations and give their characterizations in MV-algebras.
Wang Jun Tao, She Yan Hong, Qian Ting
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On Quantum-MV Algebras - Part I: The Orthomodular Algebras

Scientific Annals of Computer Science, 2021
We prove that almost all the properties of quantum-MV algebras are verified by orthomodular algebras, the new algebras introduced in a previous paper. We put a special insight on transitive antisymmetric orthomodular (taOM) algebras, generalizations of ...
Afrodita Iorgulescu
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Inverse topology in MV-algebras [PDF]

Mathematica Bohemica, 2019
We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra $A$ and show that the set of all minimal prime ideals of $A$, namely ${\rm Min}(A)$, with the inverse topology is a compact space, Hausdorff, $T_0$-space and $T_1 ...
Fereshteh Forouzesh, Farhad Sajadian, Mahta Bedrood   +2 more
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Logical entropy of dynamical systems in product MV-algebras and general scheme

Advances in Difference Equations, 2019
The present paper is aimed at studying the entropy of dynamical systems in product MV-algebras. First, by using the concept of logical entropy of a partition in a product MV-algebra introduced and studied by Markechová et al.
Dagmar Markechová, Beloslav Riečan
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Some Examples of BL-Algebras Using Commutative Rings

Mathematics, 2022
BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is to analyze the structure of BL-algebras using commutative rings. Due to computational considerations, we are interested in the finite case.
Cristina Flaut, Dana Piciu
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Some results on pseudo MV-algebras with n-roots

Ratio Mathematica
The paper provides a study of pseudo MV-algebras with $n$-roots. We outline their main properties and establish that the class of MV-algebras with $n$-roots forms a variety.
Chen Xinrong, Hongxing Liu
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Semitopological BL-Algebras and MV -Algebras

Demonstratio Mathematica, 2014
In this paper, by considering the notion of upsets, for any element x of a BL-algebra L, we construct a topology Tx on L and show that L-algebras with this topology formes a semitopological BL-algebras.
Zahiri O., Borzooei R. A.
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MAXIMAL SUBSETS OF PAIRWISE SUMMABLE ELEMENTS IN GENERALIZED EFFECT ALGEBRAS

Acta Polytechnica, 2013
We show that in any generalized effect algebra (G;⊕, 0) a maximal pairwise summable subset is a sub-generalized effect algebra of (G;⊕, 0), called a summability block.
Zdenka Riečanová, Jiří Janda
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Martingale Convergence Theorem for the Conditional Intuitionistic Fuzzy Probability

Mathematics, 2020
For the first time, the concept of conditional probability on intuitionistic fuzzy sets was introduced by K. Lendelová. She defined the conditional intuitionistic fuzzy probability using a separating intuitionistic fuzzy probability.
Katarína Čunderlíková
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