%0 Journal Article
%T Universal Algebra Applied to Hom-Associative Algebras, and More
%A Lars Hellstr£żm
%A Abdenacer Makhlouf
%A Sergei D. Silvestrov
%J Mathematics
%D 2014
%I arXiv
%X The purpose of this paper is to discuss the universal algebra theory of hom-algebras. This kind of algebra involves a linear map which twists the usual identities. We focus on hom-associative algebras and hom-Lie algebras for which we review the main results. We discuss the envelopment problem, operads, and the Diamond Lemma; the usual tools have to be adapted to this new situation. Moreover we study Hilbert series for the hom-associative operad and free algebra, and describe them up to total degree equal 8 and 9 respectively.
%U http://arxiv.org/abs/1404.2516v1