Structure and classification of monoidal groupoids

DOI10.1007/s00233-013-9470-2zbMath1278.18002arXiv1209.2847OpenAlexW2134223991MaRDI QIDQ372338

Mohammad Hasan, H. S. Yoon

Publication date: 7 October 2013

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2847

zbMATH Keywords

groupoidmonoidal categorynon-abelian cohomologyLeech cohomology groupmonoid cohomologySchreier-Grothendieck theory

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items

On the third cohomology group of commutative monoids, Higher cohomologies of commutative monoids, A cohomology theory for commutative monoids., Permutation 2-groups. I: Structure and splitness, Cohomology of monoids with operators

Cites Work

• Higher cohomologies of modules
• Group cohomology for Picard groups
• Homotopy classification of braided graded categorical groups
• The cohomology of homotopy categories and the general linear group
• Cohomology of small categories
• An exact sequence in the first variable for torsor cohomology: the 2-dimensional theory of obstructions
• Higher dimensional obstruction theory in algebraic categories
• Extending groups by monoids
• Realization of cohomology classes in arbitrary exact categories
• Extension theories for monoids
• Braided tensor categories
• Homotopy classification of graded Picard categories
• Complexe cotangent et déformations. II
• Les immeubles des groupes de tresses généralises
• Categories tannakiennes
• Simplicial methods and the interpretation of “triple” cohomology
• Schreier theory for central extensions of categorical groups¹
• On Graded Categorical Groups and Equivariant Group Extensions
• Théorie de Schreier supérieure
• The structure of a band of groups
• Homotopy Associativity of H-Spaces. I
• Homotopy classification of categorial torsors
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