Results 21 to 30 of about 47,300 (274)
Derivations and Centroids of Four Dimensional Associative Algebras [PDF]
, 2016 In this paper, we focus on derivations and centroids of four dimensional associative algebras. Using an existing classification result of low dimensional associative algebras, we describe the derivations and centroids of four dimensional associative ...
Abdulkareem, A. O. +2 more
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Associative Algebras Related to Conformal Algebras [PDF]
Applied Categorical Structures, 2007 Presented at the Cairo Algebra&Coalgebra Conference, 2006; to appear in Applied Categorical ...
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, 2010 Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra.
Issa, A. Nourou
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Algebraic structures connected with pairs of compatible associative algebras [PDF]
, 2006 We study associative multiplications in semi-simple associative algebras over C compatible with the usual one or, in other words, linear deformations of semi-simple associative algebras over C.
Odesskii, Alexander, Sokolov, Vladimir
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Finding octonion algebras in associative algebras [PDF]
Proceedings of the American Mathematical Society, 1988 An embedding of octonion algebras in central simple degree three associative algebras is given.
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Some Aspects of -Units in BCK-Algebras
Journal of Applied Mathematics, 2012 We explore properties of the set of d-units of a -algebra. A property of interest in the study of -units in -algebras is the weak associative property. It is noted that many other -algebras, especially -algebras, are in fact weakly associative.
Hee Sik Kim, J. Neggers, Keum Sook So
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\'Etale Descent of Derivations [PDF]
, 2013 We study \'etale descent of derivations of algebras with values in a module. The algebras under consideration are twisted forms of algebras over rings, and apply to all classes of algebras, notably associative and Lie algebras, such as the multiloop ...
Neher, Erhard, Pianzola, Arturo
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Power-Associative Evolution Algebras [PDF]
, 2020 The paper is devoted to the study of evolution algebras that are power-associative algebras. We give the Wedderburn decomposition of evolution algebras that are power-associative algebras and we prove that these algebras are Jordan algebras. Finally, we use this decomposition to classify these algebras up to dimension six.
Ouattara, Moussa, Savadogo, Souleymane
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Extensions of associative algebras [PDF]
Communications in Contemporary Mathematics, 2014 In this paper, we translate the problem of extending an associative algebra by another associative algebra into the language of codifferentials. The authors have been constructing moduli spaces of algebras and studying their structure by constructing their versal deformations. The codifferential language is very useful for this purpose.
Fialowski, A., Penkava, M.
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Additive combinatorics methods in associative algebras [PDF]
, 2015 We adapt methods coming from additive combinatorics in groups to the study of linear span in associative unital algebras. In particular, we establish for these algebras analogues of Diderrich-Kneser's and Hamidoune's theorems on sumsets and Tao's theorem
Beck, Vincent, Lecouvey, Cédric
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