Akivis Superalgebras and speciality
Rings and Algebras
2007-10-25 v1
Abstract
In this paper we define Akivis superalgebra and study enveloping superalgebras for this class of algebras, proving an analogous of the PBW Theorem. Lie and Malcev superalgebras are examples of Akivis superalgebras. For these particular superalgebras, we describe the connection between the classical enveloping superalgebras and the corresponding generalized concept defined in this work.
Keywords
Cite
@article{arxiv.0710.4535,
title = {Akivis Superalgebras and speciality},
author = {Helena Albuquerque and Ana Paula Santana},
journal= {arXiv preprint arXiv:0710.4535},
year = {2007}
}