Gonosomal algebra - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Algebra Année : 2016

Gonosomal algebra

Résumé

We introduce the gonosomal algebra. Gonosomal algebra extends the evolution algebra of the bisexual population (EABP) defined by Ladra and Rozikov. We show that gonosomal algebras can represent algebraically a wide variety of sex determination systems observed in bisexual populations. We illustrate this by about twenty genetic examples, most of these examples cannot be represented by an EABP. We give seven algebraic constructions of gonosomal algebras, each is illustrated by genetic examples. We show that unlike the EABP gonosomal algebras are not dibaric. We approach the existence of dibaric function and idempotent in gonosomal algebras.

Dates et versions

hal-03229614 , version 1 (25-05-2021)

Identifiants

Citer

Richard Varro. Gonosomal algebra. Journal of Algebra, 2016, 447, pp.1 - 30. ⟨10.1016/j.jalgebra.2015.09.023⟩. ⟨hal-03229614⟩
10 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More