Hom-Akivis algebras

Details Hom-Akivis algebras Hom-Akivis algebras

2010-03-24

arxiv.org/abs/1003.4770v3

Mathematics

Rings and Algebras

15 pages, 0 figure, a section and references are added

Scientific paper

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. It is shown that non-Hom-associative algebras can be obtained from nonassociative algebras by twisting along algebra automorphisms while Hom-Akivis algebras can be obtained from Akivis algebras by twisting along algebra endomorphisms. It is pointed out that a Hom-Akivis algebra associated to a Hom-alternative algebra is a Hom-Malcev algebra.

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