Splitting of operations for alternative and Malcev structures

  1. Madariaga, S. 12
  1. 1 Pacific Institute for the Mathematical Sciences
    info

    Pacific Institute for the Mathematical Sciences

    Vancouver, Canadá

    ROR https://ror.org/04w49dw51

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Communications in Algebra

ISSN: 0092-7872

Ano de publicación: 2017

Volume: 45

Número: 1

Páxinas: 183-197

Tipo: Artigo

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DOI: 10.1080/00927872.2016.1175573 SCOPUS: 2-s2.0-84990955231 GOOGLE SCHOLAR lock_openAcceso aberto editor

Outras publicacións en: Communications in Algebra

Resumo

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. We use the results and techniques from [4, 14] to discuss and give explicit computations of different constructions in terms of bimodules, splitting of operations, and Rota–Baxter operators. © 2017, Copyright © Taylor & Francis Group, LLC.