A constructive approach to Freyd categories

TL;DR

This paper presents an algorithmic, constructive method for Freyd categories that improves the traditional approach to finitely presented modules, enabling more efficient computation of finitely presented functors.

Contribution

It introduces a new constructive algorithmic framework for Freyd categories, enhancing the computational handling of finitely presented modules and functors.

Findings

Provides an algorithmic description of Freyd categories

Enables constructive computation of finitely presented functors

Simplifies the process using basic algorithms

Abstract

In this paper we give an algorithmic description of Freyd categories that subsumes and enhances the usual approach to finitely presented modules in computer algebra. The upshot is a constructive approach to finitely presented functors that only relies on a few basic algorithms.