Journal
ANZIAM JOURNAL
Volume 58, Issue 1, Pages 78-95Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S1446181116000109
Keywords
Human ABO-blood group inheritance; blood phenotype; algebra; absolute nilpotent element; idempotents; ideal; lattice; associative algebra
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Funding
- Ministerio de Economia y Competitividad (Spain) [MTM2013-43687-P]
- Xunta de Galicia [GRC2013-045]
- Education and Science Ministry of Republic of Kazakhstan [0251/GF3]
- European FEDER
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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.
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