Hom-power associative algebras

Details Hom-power associative algebras Hom-power associative algebras

2010-07-23

arxiv.org/abs/1007.4118v1

Mathematics

Rings and Algebras

24 pages

Scientific paper

A generalization of power associative algebra, called Hom-power associative algebra, is studied. The main result says that a multiplicative Hom-algebra is Hom-power associative if and only if it satisfies two identities of degrees three and four. It generalizes Albert's result that power associativity is equivalent to third and fourth power associativity. In particular, multiplicative right Hom-alternative algebras and non-commutative Hom-Jordan algebras are Hom-power associative.

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