The Torsion of Homology Groups of M(E,I)-sets

TL;DR

This paper investigates the torsion properties of homology groups associated with right pointed sets over a specific class of partially commutative monoids, contributing to algebraic topology and monoid theory.

Contribution

It introduces a novel analysis of homology torsion in M(E,I)-sets, expanding understanding of their algebraic structure.

Findings

Identifies conditions for torsion in homology groups of M(E,I)-sets

Provides methods to compute torsion components

Establishes links between monoid commutativity and homology torsion

Abstract

We consider the torsion of homology groups of right pointed sets over a partially commutative monoid M(E,I)