English

On Algebraic properties of ABO-Blood Type Inheritance Pattern

Rings and Algebras 2014-10-29 v1 Commutative Algebra Probability

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.

Keywords

Cite

@article{arxiv.1410.7564,
  title  = {On Algebraic properties of ABO-Blood Type Inheritance Pattern},
  author = {J. M. Casas and M. Ladra and B. A. Omirov and R. Turdibaev},
  journal= {arXiv preprint arXiv:1410.7564},
  year   = {2014}
}

Comments

16 pages

R2 v1 2026-06-22T06:38:24.981Z