The Homology Groups of a Partial Trace Monoid Action

Details The Homology Groups of a Partial Trace Monoid Action The Homology Groups of a Partial Trace Monoid Action

2011-11-03

arxiv.org/abs/1111.0854v1

Mathematics

Algebraic Topology

30 pages

Scientific paper

The aim of this paper is to investigate the homology groups of mathematical models of concurrency. We study the Baues-Wirsching homology groups of a small category associated with a partial monoid action on a set. We prove that these groups can be reduced to the Leech homology groups of the monoid. For a trace monoid with an action on a set, we will build a cubical complex of free Abelian groups with homology groups isomorphic to the integral homology groups of the action category. It allows us to solve the problem posed by the author in 2004 of the constructing an algorithm for computing homology groups of the CE nets. We describe the algorithm and give examples of calculating the homology groups.

Affiliated with

Also associated with

No associations

Rating

The Homology Groups of a Partial Trace Monoid Action does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Homology Groups of a Partial Trace Monoid Action, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Homology Groups of a Partial Trace Monoid Action will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-702713