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

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

doi:10.21914/anziamj.v58i0.9260

Authors

J. M. Casas Universidad de Vigo, E. E. Forestal http://orcid.org/0000-0002-6556-6131
M. Ladra University of Santiago de Compostela http://orcid.org/0000-0002-0543-4508
B. A. Omirov National University of Uzbekistan, Tashkent http://orcid.org/0000-0002-5821-4365
R. Turdibaev University of Santiago de Compostela http://orcid.org/0000-0002-0706-8169

DOI:

https://doi.org/10.21914/anziamj.v58i0.9260

Keywords:

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

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

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

Authors

DOI:

Keywords:

Abstract

Published

Issue

Section