Dibaric algebras


  • Maria Aparecida Couto Universidade Federal do Río Grande do Norte.
  • Juan C. Gutiérrez Fernández Universidade de Sao Paulo.




Nonassociative algebras, baric algebras, genetic algebras, dibaric algebras, álgebra no asociativa, álgebras báricas, álgebras genéticas, álgebras dibáricas.


Here we give basic properties of dibaric algebras which are motivated by genetic models. Dibaric algebras are not associative and they have a non trivial homomorphism onto the sex differentiation algebra. We define first join of dibaric algebras next indecomposable dibaric algebras. Finally, we prove the uniqueness of the decomposition of a dibaric algebra, with semiprincipal idempotent, as the join of indecomposable dibaric algebras.

Author Biographies

Maria Aparecida Couto, Universidade Federal do Río Grande do Norte.

Departamento de Matemática.

Juan C. Gutiérrez Fernández, Universidade de Sao Paulo.

Instituto de Matemática e Estatística,Departamento de Matemática.


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How to Cite

M. A. Couto and J. C. Gutiérrez Fernández, “Dibaric algebras”, Proyecciones (Antofagasta, On line), vol. 19, no. 3, pp. 249-269, Jun. 2017.




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