Zygotic algebra for two-linked loci with sexually different recombination and mutation rates
type: Item
instance of: scholarly article
title: Zygotic algebra for two-linked loci with sexually different recombination and mutation rates
zbMATH Open document ID: 0692.92013
DOI: 10.1016/0024-3795(89)90711-8
author: A. I. Durand-Alegria
author: Jesus Lopez-Sanchez
author: Alberto Perez De Vargas
published in: Linear Algebra and its Applications
publication date: 1989-01-01T00:00:00Z
review text: The last two authors have written an earlier paper on zygotic algebras for two-linked loci with sexually different recombination rates [Bull. Math. Biol. 47, 771-782 (1985; Zbl 0586.92016)]. In this paper the authors introduce mutations with the possibility that the mutation rates differ as well. Incidentally the earlier paper inspired a paper by the reviewer [J. Math. Biol. 25, 677-683 (1987; Zbl 0658.92015)] which is not mentioned in the references. The results are similar to the ones in the earlier paper even though the algebras involved are more complicated because of the mutations. The main result is that if A is the algebra then \(A^ 2\) is a genetic algebra but not necessarily a special train algebra. The author concludes with a discussion on idempotents.
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 17D92
zbMATH DE Number: 4133884
zbMATH Keywords: canonical basis
zbMATH Keywords: train roots
zbMATH Keywords: zygotic algebras
zbMATH Keywords: two-linked loci
zbMATH Keywords: sexually different recombination rates
zbMATH Keywords: mutation rates
zbMATH Keywords: genetic algebra
zbMATH Keywords: train algebra
zbMATH Keywords: idempotents
MaRDI profile type: Publication
full work available at URL: 0024-3795(89)90711-8
OpenAlex ID: W2087143314
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description: scientific article; zbMATH DE number 4133884