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math.GR2017
The homology of principally directed ordered groupoids
B. O. Bainson, N. D. Gilbert
We present some homological properties of a relation on ordered groupoids that generalises the minimum group congruence for inverse semigroups. When is a transitive relatio…
math.GR2017★ 1 cited
Cohomology and extensions of ordered groupoids
B. O. Bainson, N. D. Gilbert
We adapt and generalise results of Loganathan on the cohomology of inverse semigroups to the cohomology of ordered groupoids. We then derive a five-term exact sequence in cohomolog…