Factorization of Laurent series over commutative rings

TL;DR

This paper extends the Wiener-Hopf factorization of Laurent series to a broader class of commutative rings, providing explicit algebraic formulas for the decomposition.

Contribution

It introduces a generalized algebraic framework for Laurent series factorization over commutative rings, with explicit formulas for the decomposition.

Findings

Generalization of Wiener-Hopf factorization to commutative rings

Explicit algebraic formulas for Laurent series decomposition

Emphasis on algebraic properties of the factorization

Abstract

We generalize the Wiener-Hopf factorization of Laurent series to more general commutative coefficient rings, and we give explicit formulas for the decomposition. We emphasize the algebraic nature of this factorization.