Some generalizations of the notion of Lie algebra
arXiv:1005.4617 · doi:10.4303/jglta/G100801
Abstract
We introduce the notion of left (and right) quasi-Loday algebroids and a "universal space" for them, called a left (right) omni-Loday algebroid, in such a way that Lie algebroids, omni-Lie algebras and omni-Loday algebroids are particular substructures.
Second version. 14 pages. Included some comments about previous works related to Leibniz algebras, and updated bibliography. A new example added