Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493393 | Journal of Algebra | 2005 | 14 Pages |
Abstract
We prove that Bol algebras arise as primitive elements of certain bialgebras which generalize the usual universal enveloping algebras of Lie and Malcev algebras. The Bol algebra is located inside the generalized left alternative nucleus of the envelope, and its binary and ternary products are naturally recovered from the product of the envelope.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
José M. Pérez-Izquierdo,