Results 21 to 30 of about 123,818,411 (114)
Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras
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
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
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Structure and classification of Hom-associative algebras [PDF]
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
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A Characterization of Associative Evolution Algebras
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
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Spectral theory for non-associative complete normed algebras and automatic continuity
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.
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LINKAGE AND DUALITY OF MODULES [PDF]
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
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Invariant algebras and completely reducible representations [PDF]
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]
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.
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Lie algebras: infinite generalizations and deformations [PDF]
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]
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
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