an:04133884
Zbl 0692.92013
Durand-Alegria, A. I.; Lopez-Sanchez, J.; Perez de Vargas, A.
Zygotic algebra for two-linked loci with sexually different recombination and mutation rates
EN
Linear Algebra Appl. 121, 385-399 (1989).
00154343
1989
j
92D10 17D92
canonical basis; train roots; zygotic algebras; two-linked loci; sexually different recombination rates; mutation rates; genetic algebra; train algebra; idempotents
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.
H.Gonshor
Zbl 0586.92016; Zbl 0658.92015