This article is cited in 9 papers

Resolutions for free partially commutative monoids

L. Yu. Polyakova

V. N. Karazin Kharkiv National University

Abstract: We construct a free resolution for a free partially commutative monoid and, using this resolution, estimate the homological dimension of the monoid.

Keywords: monoid homology, free partially commutative monoid, free resolution, homological dimension.

UDC: 512.664.4

Received: 24.06.2006

 English version: Siberian Mathematical Journal, 2007, 48:6, 1038–1045

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