Simplicity of non-associative skew Laurent polynomial rings

TL;DR

This paper introduces non-associative skew Laurent polynomial rings and provides a characterization of their simplicity, extending previous results in the field.

Contribution

It generalizes existing results by characterizing simplicity in non-associative skew Laurent polynomial rings.

Findings

Characterization of simplicity conditions

Generalization of prior associative results

Extension to non-associative algebraic structures

Abstract

We introduce non-associative skew Laurent polynomial rings and characterize when they are simple. Thereby, we generalize results by Jordan, Voskoglou, and Nystedt and \"Oinert.