Akivis Superalgebras and speciality

Details Akivis Superalgebras and speciality Akivis Superalgebras and speciality

2007-10-24

arxiv.org/abs/0710.4535v1

Mathematics

Rings and Algebras

Scientific paper

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.

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