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arxiv: 1301.7521 · v4 · pith:BWF5L6NMnew · submitted 2013-01-31 · 💻 cs.LO · math.AT

Homology Groups of Pipeline Petri Nets

classification 💻 cs.LO math.AT
keywords groupshomologynetsdimensionspetrielementarypipelinezero
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We study homology groups of elementary Petri nets for the pipeline systems. We show that the integral homology groups of these nets in dimensions 0 and 1 equal the group of integers, and they are zero in other dimensions. We prove that directed homology groups of elementary Petri nets are zero in all dimensions.

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