Results 11 to 20 of about 47,300 (274)

Vertex Operator Algebras and Associative Algebras

open access: yesJournal of Algebra, 1998
26 pages, amslatex, a mistake is ...
Dong, Chongying   +2 more
openaire   +4 more sources

Scattering in Algebraic Approach to Quantum Theory—Associative Algebras

open access: yesUniverse, 2022
The definitions of scattering matrix and inclusive scattering matrix in the framework of formulation of quantum field theory in terms of associative algebras with involution are presented. The scattering matrix is expressed in terms of Green functions on
Albert Schwarz
doaj   +3 more sources

Weak Inflationary BL-Algebras and Filters of Inflationary (Pseudo) General Residuated Lattices

open access: yesMathematics, 2022
After the research on naBL-algebras gained by the non-associative t-norms and overlap functions, inflationary BL-algebras were also studied as a recent kind of non-associative generalization of BL-algebras, which can be obtained by general overlap ...
Xiaohong Zhang   +2 more
doaj   +1 more source

The least dimonoid congruences on relatively free trioids

open access: yesМатематичні Студії, 2022
When Loday and Ronco studied ternary planar trees, they introduced types of algebras, called trioids and trialgebras. A trioid is a nonempty set equipped with three binary associative operations satisfying additional eight axioms relating these ...
A. V. Zhuchok
doaj   +1 more source

The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras

open access: yesДоповiдi Нацiональної академiї наук України, 2022
In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the automorphism groups of finite-dimensional cyclic Leibniz algebras. In particular, we consider
L.A. Kurdachenko   +2 more
doaj   +1 more source

Unification Theories: Examples and Applications

open access: yesAxioms, 2018
We consider several unification problems in mathematics. We refer to transcendental numbers. Furthermore, we present some ways to unify the main non-associative algebras (Lie algebras and Jordan algebras) and associative algebras.
Florin F. Nichita
doaj   +1 more source

Partial Menger algebras and their weakly isomorphic representation

open access: yesMathematics Open, 2022
As generalization of semigroups, Karl Menger introduced in the 1940th algebras of multiplace operations. Such algebras satisfy the superassociative law, a generalization of the associative law.
K. Denecke
doaj   +1 more source

Bimultiplications and Annihilators of Crossed Modules in Associative Algebras

open access: yesJournal of New Theory, 2021
In this paper, we present a generalization of the concept of the bimultiplication algebra by defining the bimultiplication of crossed modules in associative algebras.
Ummahan Ege Arslan, Serdar Hürmetli
doaj   +1 more source

Metabelian Associative Algebras [PDF]

open access: yesBulletin of the Malaysian Mathematical Sciences Society, 2015
Metabelian algebras are introduced and it is shown that an algebra $A$ is metabelian if and only if $A$ is a nilpotent algebra having the index of nilpotency at most $3$, i.e. $x y z t = 0$, for all $x$, $y$, $z$, $t \in A$. We prove that the It 's theorem for groups remains valid for associative algebras.
openaire   +3 more sources

On Cohomology Groups of Four-Dimensional Nilpotent Associative Algebras

open access: yesمجلة بغداد للعلوم, 2022
The study of cohomology groups is one of the most intensive and exciting researches that arises from algebraic topology. Particularly, the dimension of cohomology groups is a highly useful invariant which plays a rigorous role in the geometric ...
N. F. Mohammed   +2 more
doaj   +1 more source

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