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On 0-homology of categorical at zero semigroups

2009; De Gruyter Open; Volume: 7; Issue: 2 Linguagem: Inglês

10.2478/s11533-009-0001-z

2391-5455

Boris Novikov, L. Yu. Polyakova,

Topological and Geometric Data Analysis

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.