Results 41 to 50 of about 230,290 (221)

Tense Operators on BL-algebras and Their Applications

Bulletin of the Section of Logic, 2021
In this paper, the notions of tense operators and tense filters in BL-algebras are introduced and several characterizations of them are obtained. Also, the relation among tense BL-algebras, tense MV-algebras and tense Boolean algebras are investigated ...
Akbar Paad
doaj   +1 more source

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
doaj   +1 more source

States on basic algebras [PDF]

Mathematica Bohemica, 2017
States on commutative basic algebras were considered in the literature as generalizations of states on MV-algebras. It was a natural question if states exist also on basic algebras which are not commutative.
Ivan Chajda, Helmut Länger
doaj   +1 more source

Projective MV-algebras

International Journal of Approximate Reasoning, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DI NOLA, Antonio, GRIGOLIA R, LETTIERI A.   +2 more
openaire   +4 more sources

On complete $MV$-algebras [PDF]

Czechoslovak Mathematical Journal, 1995
An element \(x\) of an \(MV\)-algebra (also called a Wajsberg algebra) is called an \(\alpha\)-atom if the interval \([0,x ]\) is a chain of cardinality \(\alpha\). The algebra \(A\) is said to be \(\alpha\)-atomic if for every \(y\in A\setminus \{0\}\) there is an \(\alpha\)-atoms \(x\) such that \(x\leq y\).
openaire   +2 more sources

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
doaj   +1 more source

Directoids with sectionally antitone involutions and skew MV-algebras [PDF]

, 2007
summary:It is well-known that every MV-algebra is a distributive lattice with respect to the induced order. Replacing this lattice by the so-called directoid (introduced by J. Ježek and R.
Kolařík, M., Chajda, I.
core   +1 more source

Paraconsistency in the Logic sqŁ^*

Axioms
The logic sqŁ* is closely related to complex fuzzy sets. In this paper, we continue our study on sqŁ* by establishing a system that includes all formulas with values 0 in sqŁ*. This system has paraconsistent formulas within sqŁ*.
Lei Cai, Wenjuan Chen
doaj   +1 more source

On epicomplete $MV$-algebras

FLAP, 2016
The aim of the paper is to study epicomplete objects in the category of $MV$-algebras. A relation between injective $MV$-algebras and epicomplete $MV$-algebras is found, an equivalence condition for an $MV$-algebra to be epicomplete is obtained, and it is shown that the class of divisible $MV$-algebras and the class of epicomplete $MV$-algebras are the
Anatolij Dvurecenskij, Omid Zahiri
openaire   +3 more sources

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
doaj   +2 more sources