On 0-homology of categorical at zero semigroups
B. V. Novikov, L. Yu. Polyakova
TL;DR
This paper establishes an isomorphism between 0-homology groups of categorical at zero semigroups and the homology groups of their 0-reflectors, with applications to Eilenberg-MacLane homology.
Contribution
It proves the isomorphism between 0-homology of categorical at zero semigroups and homology of their 0-reflectors, advancing the understanding of semigroup homology.
Findings
Isomorphism between 0-homology groups and homology of 0-reflectors
Applications to Eilenberg-MacLane homology of semigroups
Enhanced understanding of semigroup homology structures
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis