An approach to the Jacobian Conjecture in terms of irreducibility

TL;DR

This paper explores a novel approach to the Jacobian Conjecture by examining the roles of irreducible and square-free elements within polynomial mappings.

Contribution

It introduces a new perspective on the Jacobian Conjecture focusing on irreducibility and square-free properties to potentially advance understanding or proof strategies.

Findings

Highlights the significance of irreducibility in polynomial mappings

Proposes a framework linking square-free elements to the conjecture

Suggests new avenues for research in polynomial invertibility

Abstract

We present some motivations and discuss various aspects of an approach to the Jacobian Conjecture in terms of irreducible elements and square-free elements.