×

The gametic algebra for polyploidy with several loci. (English) Zbl 0608.92006

The main result of this short paper is that the gametic algebra of 2r- ploid individuals which differ at n loci is genetic. The proof uses a theorem of Gonshor which gives a necessary and sufficient condition for a basic algebra to be genetic.
Reviewer: E.W.Wallace

MSC:

92D10 Genetics and epigenetics
17D92 Genetic algebras
17D99 Other nonassociative rings and algebras
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Fortini, P., Barakat, R.: Genetic algebras for tetraploidy with several loci. J. Math. Biol. 9, 297–304 (1980) · Zbl 0428.92017 · doi:10.1007/BF00276495
[2] Gonshor, H.: Contributions to genetic algebras II. Proc. Edinburgh Math. Soc. 18, 273–279 (1973) · Zbl 0272.92012 · doi:10.1017/S001309150001004X
[3] Heuch, I.: The genetic algebra for polyploidy with an arbitrary amount of double reduction. J. Math. Biol. 6, 343–352 (1978) · Zbl 0393.92010 · doi:10.1007/BF02462999
[4] Wörz-Busekros, A: Polyploidy with an arbitrary mixture of chromosome and chromatid segregation. J. Math. Biol. 6, 353–365 (1978) · Zbl 0389.92015 · doi:10.1007/BF02463000
[5] Wörz-Busekros, A.: Algebras in genetics. Lect. Notes Biomath. 36. Berlin, Heidelberg, New York: Springer 1980 · Zbl 0431.92017
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.