2015/03/22 by Richard Varro, Varro, Richard · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #17D92 #Advanced Topics in Algebra #FOS: Biological sciences #FOS: Mathematics #Optical Network Technologies #Quantitative Methods (q-bio.QM) #Rings and Algebras (math.RA) #Sphingolipid Metabolism and Signaling
paper · pdf · doi:10.48550/arxiv.1503.08070
openalex publication_date 2015/03/22 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
We introduce the gonosomal algebra. Gonosomal algebra extend 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.