Cocycles in commutative semigroup cohomology

DOI10.1080/00927879708826061zbMath0889.20036OpenAlexW2004065082MaRDI QIDQ4361011

Pierre Antoine Grillet

Publication date: 30 March 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708826061

zbMATH Keywords

cohomology groupsAbelian group valued functorsfinite commutative semigroupsgroup coextensionsLeech categoriessemigroup cohomologylong coboundarieslong cocycles

Mathematics Subject Classification ID

Commutative semigroups (20M14) Connections of semigroups with homological algebra and category theory (20M50)

Related Items (8)

Functor homology and homology of commutative monoids ⋮ On the third cohomology group of commutative monoids ⋮ A cohomology theory for commutative monoids. ⋮ Commutative monoid homology ⋮ The André–Quillen cohomology of commutative monoids ⋮ Four-cocycles in commutative semigroup cohomology ⋮ The inheritance of symmetry conditions in commutative semigroup cohomology ⋮ Commutative semigroup cohomology

Cites Work

• Commutative semigroup cohomology
• Left coset extensions
• Extension theories for monoids
• The commutative cohomology of finite semigroups
• Commutative semigroup cohomology

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