On the algebraic properties of the human ABO-blood group inheritance pattern

J. M. Casas, M. Ladra, B. A. Omirov, R. Turdibaev

Abstract


We generate an algebra on blood phenotypes with multiplication based on the human ABO-blood group inheritance pattern. We assume that gametes are not chosen randomly during meiosis. We investigate some of the properties of this algebra, namely, the set of idempotents, lattice of ideals and the associative enveloping algebra.

doi:10.1017/S1446181116000109

Keywords


Human ABO-blood group inheritance; blood phenotype; algebra; absolute nilpotent element; idempotents; ideal; lattice; associative algebra



DOI: http://dx.doi.org/10.21914/anziamj.v58i0.9260



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.