Results 11 to 20 of about 123,818,411 (114)

Von-Neumann Finiteness and Reversibility in some Classes of Non-Associative Algebras

open access: yes, 2021
We investigate criteria for von-Neumann finiteness and reversibility in some classes of non-associative algebras. Types of algebras that are studied include alternative, flexible, quadratic and involutive algebras, as well as algebras obtained by the ...
Darpö, Erik,, Nystedt, Patrik,
core   +1 more source

SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]

open access: yes, 2002
An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
core   +1 more source

Hopf algebras in non-associative Lie theory [PDF]

open access: yes, 2014
We review the developments in the Lie theory for non-associative products from 2000 to date and describe the current understanding of the subject in view of the recent works, many of which use non-associative Hopf algebras as the main ...
Perez-Izquierdo, J.M. [0000-0002-1143-6382]   +7 more
core   +2 more sources

Scattering in Algebraic Approach to Quantum Theory—Associative Algebras

open access: yes, 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
core   +1 more source

Restricted Lie (super)algebras, central extensions of non-associative algebras and some tapas [PDF]

open access: yes, 2021
The general framework of this dissertation is the theory of non-associative algebras. We tackle diverse problems regarding restricted Lie algebras and superalgebras, central extensions of different classes of algebras and crossed modules of Lie ...
Páez Guillán, María Pilar
core  

Nearly Associative and Nearly Hom-Associative Algebras and Bialgebras

open access: yes, 2023
Basic definitions and properties of nearly associative algebras are described. Nearly associative algebras are proved to be Lie-admissible algebras. Two-dimensional nearly associative algebras are classified, and main classes are derived.
Silvestrov, Sergei,   +1 more
core   +1 more source

Hilbert's basis theorem for non-associative and hom-associative Ore extensions [PDF]

open access: yes, 2022
We prove a hom-associative version of Hilbert's basis theorem, which includes as special cases both a non-associative version and the classical associative Hilbert's basis theorem for Ore extensions. Along the way, we develop hom-module theory.
Bäck, Per,   +5 more
core   +1 more source

Linear maps on real C* - algebras and related structures [PDF]

open access: yes, 2010
PhDIn this thesis we obtain new results on the structures of real C*-algebras and nonsurjective isometries between them. Some of the results have been published in [1].
Apazoglou, Maria
core   +3 more sources

On $H$-simple not necessarily associative algebras [PDF]

open access: yes, 2018
An algebra A with a generalized H-action is a generalization of an H-module algebra where H is just an associative algebra with 1 and a relaxed compatibility condition between the multiplication in A and the H-action on A holds.
Gordienko, Alexey
core   +1 more source

Koszul Duality for Semidirect Products and Generalized Takiff Algebras [PDF]

open access: yes, 2017
We obtain Koszul-type dualities for categories of graded modules over a graded associative algebra which can be realized as the semidirect product of a bialgebra coinciding with its degree zero part and a graded module algebra for the latter.
Mazorchuk, Volodymyr   +3 more
core   +1 more source

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