Results 31 to 40 of about 28,167 (281)

On Quantum-MV Algebras - Part I: The Orthomodular Algebras

open access: yesScientific 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
doaj   +1 more source

Schur sector of Argyres-Douglas theory and $W$-algebra

open access: yesSciPost Physics, 2021
We study the Schur index, the Zhu's $C_2$ algebra, and the Macdonald index of a four dimensional $\mathcal{N}=2$ Argyres-Douglas (AD) theories from the structure of the associated two dimensional $W$-algebra. The Schur index is derived from the vacuum
Dan Xie, Wenbin Yan
doaj   +1 more source

Some results on pseudo-Q algebras

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017
The notions of a dual pseudo-Q algebra and a dual pseudo-QC algebra are introduced. The properties and characterizations of them are investigated. Conditions for a dual pseudo-Q algebra to be a dual pseudo-QC algebra are given. Commutative dual pseudo-QC
Akbar Rezaei   +2 more
doaj   +1 more source

A new generalization of BE-algebras [PDF]

open access: yesHeliyon, 2018
In this paper we introduce the notion of P S R U -algebras as a generalization of BE-algebras, we investigate its elementary properties. The aim of this paper is to investigate the concept of filters, left ideals (right ideal, ideal) and fuzzy filters in P S R U -algebras.
Pairote Yiarayong   +1 more
openaire   +3 more sources

MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS

open access: yesBarekeng, 2021
Eigen problems and eigenmode are important components related to square matrices. In max-plus algebra, a square matrix can be represented in the form of a graph called a communication graph.
Eka Widia Rahayu   +2 more
doaj   +1 more source

Generalized Stonean BE-algebras

open access: yesMiskolc Mathematical Notes
In this paper, the notion of a generalized Stonean BE-algebra is introduced. A set of equivalent conditions is given for every quasi-complemented BE-algebra to become a generalized Stonean BE-algebra. A necessary and sufficient condition is stated for a self-distributive and commutative BE-algebra to become a generalized Stonean BE-algebra. The concept
M. Sambasiva Rao, Arsham Borumand Saeid
openaire   +2 more sources

On implicative BE algebras

open access: yesAnnales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2023
Summary: We consider some generalizations of BCK algebras (RML, BE, aBE, BE\(^{\ast\ast}\) and aBE\(^{\ast\ast}\) algebras). We investigate the property of implicativity for these algebras. We prove that for any implicative BE\(^{\ast\ast}\) algebra the commutativity property is equivalent to the property of antisymmetry and show that implicative aBE\(^
openaire   +2 more sources

Combinatorial algebra for second-quantized Quantum Theory [PDF]

open access: yes, 2010
We describe an algebra G of diagrams that faithfully gives a diagrammatic representation of the structures of both the Heisenberg–Weyl algebra H – the associative algebra of the creation and annihilation operators of quantum mechanics – and U(LH), the ...
Blasiak, Pawel   +4 more
core   +3 more sources

SMARANDACHE WEAK BE-ALGEBRAS [PDF]

open access: yesCommunications of the Korean Mathematical Society, 2012
Abstract. In this paper, we introduce the notions of Smarandache weakBE-algebra, Q-Smarandache filters and Q-Smarandache ideals. We showthat a nonempty subset F of a BE-algebra X is a Q-Smarandache filterif and only if A(x,y) ⊆F, which A(x,y) is a Q-Smarandache upper set.The relationship between these notions are stated and proved. 1.
openaire   +1 more source

Generalized q-Oscillators and their Hopf Structures

open access: yes, 1994
We study the relationships among the various forms of the $q$ oscillator algebra and consider the conditions under which it supports a Hopf structure. We also present a generalization of this algebra together with its corresponding Hopf structure.
Biedenharn L C   +13 more
core   +1 more source

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