Commutative n-ary Leibniz Algebras

  1. Benito, P. 1
  2. Madariaga, S. 1
  3. Pérez-Izquierdo, J.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Communications in Algebra

ISSN: 0092-7872

Year of publication: 2010

Volume: 38

Issue: 8

Pages: 2843-2850

Type: Article

DOI: 10.1080/00927870903085252 SCOPUS: 2-s2.0-77955948788 WoS: WOS:000281159300012 GOOGLE SCHOLAR

More publications in: Communications in Algebra

Related Projects

Álgebras, triples y lazos relacionados con Geometría y Supersimetría

2007/00082/001

Abstract

We prove that there are no simple commutative n-ary Leibniz algebras of arbitrary dimension over fields of characteristic zero or greater than n. This result extends previous work of Pojidaev and Elduque. © Taylor & Francis Group, LLC.