On Hom type algebras

Details On Hom type algebras On Hom type algebras

2009-03-19

arxiv.org/abs/0903.3393v2

Mathematics

Rings and Algebras

24 pages. Final version submitted for publication

Scientific paper

Hom-algebras are generalizations of algebras obtained using a twisting by a linear map. But there is a priori a freedom on where to twist. We enumerate here all the possible choices in the Lie and associative categories and study the relations between the obtained algebras. The associative case is richer since it admits the notion of unit element. We use this fact to find sufficient conditions for hom-associative algebras to be associative and classify the implications between the hom-associative types of unital algebras.

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