Results 21 to 30 of about 123,818,411 (114)

Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras

open access: yesپژوهش‌های ریاضی, 2020
Introduction Hom-algebraic ‎structures ‎appeared ‎first ‎as a‎ ‎generalization ‎of ‎Lie ‎algebras ‎in [1,3],  ‎where ‎the ‎authors ‎studied ‎‎q-deformations ‎of ‎Witt ‎and ‎Virasoro ‎algebras. A‎ ‎general ‎study ‎and ‎construction ‎of ‎Hom-Lie ‎algebras ‎
Valiollah Khalili
doaj  

Hopf Algebras and Galois Module Theory

open access: yes, 2021
Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surveys the state of the art in Hopf-Galois theory and Hopf-Galois module theory and can be viewed ...
Cornelius Greither   +13 more
core   +1 more source

Structure and classification of Hom-associative algebras [PDF]

open access: yes, 2020
The purpose of this paper is to study the structure and the algebraic varieties of Hom-associative algebras. We characterize multiplicative simple Hom-associative algebras and give some examples deforming the 2 × 2-matrix algebra to simple Hom ...
Makhlouf, Abdenacer, Zahari, Ahmed
core   +1 more source

A Characterization of Associative Evolution Algebras

open access: yes, 2023
Evolution algebras are non-associative in general, that is, the binary multiplication law is not associative. However, there exist some of them that are associative. In this paper we deal with these last ones.
Fernández Ternero, Desamparados   +2 more
core   +1 more source

Spectral theory for non-associative complete normed algebras and automatic continuity

open access: yes, 2009
This paper concerns normed algebras whose product is free of the requirement of associativity. For these algebras, a very natural notion of spectrum is provided and basic spectral properties of (associative) Banach algebras are extended to this general ...
Velasco, M.V.
core   +1 more source

LINKAGE AND DUALITY OF MODULES [PDF]

open access: yes, 2009
Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
core   +1 more source

Invariant algebras and completely reducible representations [PDF]

open access: yes, 1994
We give a general construction of affine noetherian algebras with the property that every finite dimensional representation is completely reducible. Starting from enveloping algebras of semi simple Lie algebras in characteristic zero we obtain explicit ...
Kraft, Hanspeter, Small, Lance W.
core  

Free associative algebras, noncommutative Gröbner bases, and universal associative envelopes for nonassociative structures [PDF]

open access: yes, 2013
summary:First, we provide an introduction to the theory and algorithms for noncommutative Gröbner bases for ideals in free associative algebras. Second, we explain how to construct universal associative envelopes for nonassociative structures defined by ...
Murray R. Bremner, Bremner, Murray R.
core   +1 more source

Lie algebras: infinite generalizations and deformations [PDF]

open access: yes, 1990
There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
core  

On the Classification of Automorphic Lie Algebras [PDF]

open access: yes, 2009
The problem of reduction of integrable equations can be formulated in a uniform way using the theory of invariants. This provides a powerful tool of analysis and it opens the road to new applications of Automorphic Lie Algebras, beyond the context of ...
Sanders, Jan   +7 more
core   +1 more source

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