Abstract
The isomorphism of 0-homology groups of a categorical at zero semigroup and homology groups of its 0-reflector is proved. Some applications of 0-homology to Eilenberg-MacLane homology of semigroups are given.

Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo
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The isomorphism of 0-homology groups of a categorical at zero semigroup and homology groups of its 0-reflector is proved. Some applications of 0-homology to Eilenberg-MacLane homology of semigroups are given.
MSC: 20M50
Keywords: Homology of semigroups; 0-homology of semigroups; Categorical at zero semigroup
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Published Online: 2009-05-24
Published in Print: 2009-06-01
Citation Information: Open Mathematics, Volume 7, Issue 2, Pages 165–175, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/s11533-009-0001-z.
© 2009 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0
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