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On 0-homology of categorical at zero semigroups. (English) Zbl 1182.20059
Summary: 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 Connections of semigroups with homological algebra and category theory
18G60 Other (co)homology theories (MSC2010)
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