Burdujan, Ilie Two classes of algebras arising from genetics. (English) Zbl 1053.92031 Sci. Ann. Univ. Agric. Sci. Vet. Med., Fac. Hortic. 45 (2002), 23-32 (2003). Summary: We consider two well-known important classes of commutative algebras occurring in the mathematical modeling of some problems in genetics, namely Bernstein algebras and the gametic algebra for simple Mendelian inheritance. It is proved that their associated homogeneous systems characterize them.For the entire collection see [Zbl 1015.00033]. MSC: 17D92 Genetic algebras 92D10 Genetics and epigenetics 92B05 General biology and biomathematics 17A01 General theory of nonassociative rings and algebras Keywords:gametic algebras; Bernstein’s principle of stationarity; Bernstein algebras PDFBibTeX XMLCite \textit{I. Burdujan}, in: Proceedings of the annual symposium on mathematics applied in biology \& biophysics, Iaşi, Romania, May 30--31, 2002. Iaşi: U. A. S. V. M. -- Iasi. 23--32 (2003; Zbl 1053.92031)