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ON THE ALGEBRAIC PROPERTIES OF THE HUMAN ABO-BLOOD GROUP INHERITANCE PATTERN

J. M. CasasDpto. Matemática Aplicada I, Universidad de Vigo, E. E. Forestal, Campus Universitario A Xunqueira, 36005 Pontevedra, Spain emailM. LadraDepartment of Algebra, University of Santiago de Compostela15782, Spain emailB. A. OmirovInstitute of Mathematics, National University of Uzbekistan, Tashkent, 100125, Uzbekistan emailRustam TurdibaevDepartment of Algebra, University of Santiago de Compostela15782, Spain email
The ANZIAM Journaljournal2016en
ABI

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.

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