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Resolutions for free partially commutative monoids

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Abstract

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

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Authors and Affiliations

  1. Karazin Kharkiv National University, Kharkiv, the Ukraine

    L. Yu. Polyakova

Authors
  1. L. Yu. Polyakova
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Correspondence to L. Yu. Polyakova.

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Original Russian Text Copyright © 2007 Polyakova L. Yu.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 6, pp. 1295–1304, November–December, 2007.

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Polyakova, L.Y. Resolutions for free partially commutative monoids. Sib Math J 48, 1038–1045 (2007). https://doi.org/10.1007/s11202-007-0106-1

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  • DOI: https://doi.org/10.1007/s11202-007-0106-1

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