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.
@article{bwmeta1.element.doi-10_2478_s11533-009-0001-z,
author = {Boris Novikov and Lyudmyla Polyakova},
title = {On 0-homology of categorical at zero semigroups},
journal = {Open Mathematics},
volume = {7},
year = {2009},
pages = {165-175},
zbl = {1182.20059},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0001-z}
}
Boris Novikov; Lyudmyla Polyakova. On 0-homology of categorical at zero semigroups. Open Mathematics, Tome 7 (2009) pp. 165-175. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0001-z/
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