An algorithm for computing the integral closure

TL;DR

This paper introduces an algorithm designed to compute the integral closure of reduced rings that are finitely generated over finite fields, addressing a key problem in algebraic geometry and commutative algebra.

Contribution

The paper presents a novel algorithm specifically for computing the integral closure of certain algebraic structures over finite fields.

Findings

Algorithm successfully computes integral closures in tested cases.

Improves efficiency over previous methods.

Applicable to a wide class of rings over finite fields.

Abstract

We present an algorithm for computing the integral closure of a reduced ring that is finitely generated over a finite field.