Splitting of operations for alternative and Malcev structures

  1. Madariaga Merino, Sara
Revista:
Communications in Algebra

ISSN: 0092-7872

Año de publicación: 2015

Tipo: Artículo

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DOI: 10.1080/00927872.2016.1175573 arXiv: 1312.5710 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Communications in Algebra

Repositorio institucional: lock_openAcceso abierto Preprint

Resumen

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