On Algebraic properties of ABO-Blood Type Inheritance Pattern
J.M. Casas, M. Ladra, B.A. Omirov, R. Turdibaev
TL;DR
This paper develops an algebraic framework for ABO-blood type inheritance, analyzing its properties and structures under non-random gamete selection assumptions.
Contribution
It introduces a novel algebraic model for blood type inheritance and explores its ideal lattice and associative algebra properties.
Findings
Describes the lattice of ideals of the blood type algebra
Characterizes the associative enveloping algebra
Provides insights into inheritance patterns through algebraic structures
Abstract
We generate an algebra on blood phenotypes with multiplication based on human ABO-blood type inheritance pattern. We assume that during meiosis gametes are not chosen randomly. For this algebra we investigate its algebraic properties. Namely, the lattice of ideals and the associative enveloping algebra are described.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Blood groups and transfusion · Advanced Topology and Set Theory