Results 21 to 30 of about 421,354 (246)
Relationship Between Hyper MV -algebras and Hyperlattices
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 Sh. Ghorbani, et al. [9], generalized the concept of MV -algebras and defined the notion of hyper MV -algebras. Now, in this paper, we try to prove that any hyper MV -algebra is a hyperlattice. First we prove that any hyper MV -algebra that satisfies the
Borzooei R. A. +2 more
doaj +1 more source
Forensic Dynamic Lukasiewicz Logic [PDF]
Transactions on Fuzzy Sets and Systems, 2022 A forensic dynamic $n$-valued Lukasiewicz logic $FDL_n$ is introduced on the base of $n$-valued Lukasiewicz logic $L_n$ and corresponding to it forensic dynamic $MV_n$-algebra ($FDL_n$-algebra), $1 < n < \omega$, which are algebraic counterparts of ...
Antonio Di Nola, Revaz Grigolia
doaj +1 more source
Convex chains in a pseudo MV-algebra [PDF]
, 2003 summary:For a pseudo $MV$-algebra $\mathcal A$ we denote by $\ell (\mathcal A)$ the underlying lattice of $\mathcal A$. In the present paper we investigate the algebraic properties of maximal convex chains in $\ell (\mathcal A)$ containing the element ...
Jakubík, Ján
core +1 more source
Rényi Entropy and Rényi Divergence in Product MV-Algebras
Entropy, 2018 This article deals with new concepts in a product MV-algebra, namely, with the concepts of Rényi entropy and Rényi divergence. We define the Rényi entropy of order q of a partition in a product MV-algebra and its conditional version ...
Dagmar Markechová, Beloslav Riečan
doaj +1 more source
The connection of hyper lattice implication algebras and related hyper algebras [PDF]
Journal of Hyperstructures, 2016 In this paper, we de ne the concepts of (good) con- gruences and strong congruences on hyper lattice implication alge- bras and use them to construct quotient hyper lattice implication algebras.
Shokoofeh Ghorbani
doaj +1 more source
Linear Algebra and Smarandache Linear Algebra [PDF]
, 2003 The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
core +1 more source
Reflectional topology in MV-algebras [PDF]
Categories and General Algebraic Structures with Applications, 2022 In this paper, we define soaker ideals in an MV-algebra, and study the relationships between soaker ideals and the other ideals in an involutive MV -algebras.
Fereshteh Forouzesh, Naser Hosseini
doaj +1 more source
Boolean Products of MV-Algebras: Hypernormal MV-Algebras
Journal of Mathematical Analysis and Applications, 1996 Introduced by C. C. Chang in the late fifties as the Lindenbaum algebras of the infinite-valued calculus of Lukasiewicz, MV-algebras have been attracting renewed interest in the last decade, because they form an equational class being naturally equivalent to the category of lattice-ordered abelian groups with strong unit. As a consequence, countable MV-
Cignoli, R., Torrell, A.T.
openaire +3 more sources
Homological Algebra for Superalgebras of Differentiable Functions [PDF]
, 2012 This is the second in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we extend the classical notion of a dg-algebra to define, in
Sub Algebra,Geometry&Mathem. Logic begr. +2 more
core +1 more source
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 +2 more
doaj +2 more sources