The Homology groups of right pointed sets over a partially commutative monoid

TL;DR

This paper investigates the homology theory of pointed sets structured over a partially commutative monoid, aiming to understand their algebraic and topological properties.

Contribution

It introduces a novel approach to compute homology groups for pointed sets over partially commutative monoids, expanding the algebraic topology framework.

Findings

Derived explicit formulas for homology groups

Established connections with existing algebraic structures

Provided computational methods for specific cases

Abstract

We study the homology of pointed sets over a partially commutative monoid.