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

J. M. CasasUniversidad de Vigo, E. E. ForestalM. LadraUniversity of Santiago de CompostelaB. A. OmirovNational University of Uzbekistan, TashkentRustam TurdibaevUniversity of Santiago de Compostela
ANZIAM Journaljournal2016en

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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

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