Mathematics – Rings and Algebras
Scientific paper
2006-09-18
Mathematics
Rings and Algebras
11 pages
Scientific paper
A Hom-algebra structure is a multiplication on a vector space where the structure is twisted by a homomorphism. The structure of Hom-Lie algebra was introduced by Hartwig, Larsson and Silvestrov and extended by Larsson and Silvestrov to quasi-hom Lie and quasi-Lie algebras. In this paper we introduce and study Hom-associative, Hom-Leibniz, and Hom-Lie admissible algebraic structures which generalize the well known associative, Leibniz and Lie admissible algebras. Also, we characterize the flexible Hom-algebras in this case. We also explain some connections between Hom-Lie algebras and Santilli's isotopies of associative and Lie algebras.
Makhlouf Abdenacer
Silvestrov Sergei
No associations
LandOfFree
On Hom-algebra structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On Hom-algebra structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Hom-algebra structures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-648345