Irreducible polynomials in quadratic semigroups
Wade Hindes, Reiyah Jacobs, and Peter Ye
TL;DR
This paper explores the construction of many irreducible polynomials within quadratic semigroups generated by specific polynomial sets, advancing understanding of polynomial irreducibility in algebraic structures.
Contribution
It introduces methods to generate irreducible polynomials in quadratic semigroups formed by compositions of quadratic polynomials.
Findings
Successfully constructed numerous irreducible polynomials in the semigroups
Provided new insights into the structure of quadratic polynomial compositions
Extended the theory of polynomial irreducibility in algebraic semigroups
Abstract
We construct many irreducible polynomials within semigroups generated by sets of the form under composition.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Functional Equations Stability Results · Mathematical Dynamics and Fractals