On subalgebras of an evolution algebra of a "chicken" population

TL;DR

This paper studies the algebraic structure of a model representing a bisexual population, focusing on subalgebras, ideals, and periodic properties of elements within the algebra.

Contribution

It provides explicit calculations of periods and characterizes subalgebras and ideals in the evolution algebra modeling a bisexual population.

Findings

Calculated right and plenary periods of generator elements.

Characterized subalgebras and ideals in low-dimensional cases.

Provided structural insights into the algebra of a bisexual population.

Abstract

We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. For such algebras in terms of its structure constants we calculate right and plenary periods of generator elements. Some results on subalgebras of EACP and ideals on low-dimensional EACP are obtained.