Splitting of operations for alternative and Malcev structures
Rings and Algebras
2015-10-26 v2
Abstract
In this paper we define pre-Malcev algebras and alternative quadri-algebras and prove that they generalize pre-Lie algebras and quadri-algebras respectively to the alternative setting. Constructions in terms bimodules, splitting of operations, and Rota-Baxter operators are discussed.
Keywords
Cite
@article{arxiv.1312.5710,
title = {Splitting of operations for alternative and Malcev structures},
author = {Sara Madariaga},
journal= {arXiv preprint arXiv:1312.5710},
year = {2015}
}
Comments
16 pages, 2 figures