# Gauss' lemma for polynomials over semidomains

## TL;DR

This paper extends Gauss' lemma, a fundamental result in polynomial factorization, to the broader context of subtractive factorial semidomains, expanding its applicability in algebraic structures.

## Contribution

The paper introduces a generalization of Gauss' lemma specifically for polynomials over subtractive factorial semidomains, a novel algebraic setting.

## Key findings

- Gauss' lemma is valid in subtractive factorial semidomains
- Extension of polynomial factorization principles to new algebraic structures
- Potential applications in algebra and number theory

## Abstract

In this paper, we generalize Gauss' lemma for polynomials over subtractive factorial semidomains.