Cohomology and extensions of ordered groupoids

DOI10.1142/S0219498822501778OpenAlexW3168590847MaRDI QIDQ5104142

N. D. Gilbert, B. O. Bainson

Publication date: 9 September 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06333

zbMATH Keywords

cohomologyextensiongroupoidmodule

Mathematics Subject Classification ID

Cohomology of groups (20J06) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Cites Work

• Fibrations of ordered groupoids and the factorization of ordered functors
• Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev
• Congruences on ordered groupoids
• The \(\mathcal D\)-category of a semigroup
• Ordered groupoids and left cancellative categories
• Resolutions, relation modules and Schur multipliers for categories
• A new treatment of group extensions
• Cohomological topics in group theory.
• The derived module of a homomorphism
• FACTORIZATION THEOREMS FOR MORPHISMS OF ORDERED GROUPOIDS AND INVERSE SEMIGROUPS
• Idempotent-Separating Extensions Of Inverse Semigroups
• Groupoids as Coefficients
• Cohomology of inverse semigroups
• Cohomology of inverse semigroups
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