Dibaric algebras

• Couto, Maria Aparecida ^[1] ; Gutiérrez Fernández, Juan C.
  1. [1] Universidade Federal do Rio Grande do Norte

     Universidade Federal do Rio Grande do Norte

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 19, Nº. 3, 2000, págs. 249-269
• Idioma: inglés
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• Resumen

  • 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.