Inverse semigroup cohomology and crossed module extensions of semilattices of groups by inverse semigroups

DOI10.1016/j.jalgebra.2021.11.017OpenAlexW3214887149MaRDI QIDQ2062737

Mykola Khrypchenko, Mayumi Makuta, Mikhailo Dokuchaev

Publication date: 3 January 2022

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

Full work available at URL: https://arxiv.org/abs/2104.13481

zbMATH Keywords

cohomologyinverse semigroupcrossed modulesemilattice of groups\(F\)-inverse monoidcrossed module extension

Mathematics Subject Classification ID

Inverse semigroups (20M18) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Cites Work

• An interpretation of the cohomology groups \(H^ n(G,M)\)
• Crossed \(n\)-fold extensions of groups and cohomology
• E-unitary covers for inverse semigroups
• Partial cohomology of groups and extensions of semilattices of abelian groups
• On the classification of Schreier extensions of monoids with non-abelian kernel
• The third partial cohomology group and existence of extensions of semilattices of groups by groups
• Cohomology monoids of monoids with coefficients in semimodules. I
• Partial cohomology of groups.
• Cohomology monoids of monoids with coefficients in semimodules. II
• On the deformation of rings and algebras. II
• Cohomology theory in abstract groups. III. Operator homomorphisms of kernels
• Twisted partial actions and extensions of semilattices of groups by groups
• Idempotent-Separating Extensions Of Inverse Semigroups
• Combinatorial homotopy. II
• Cohomology of inverse semigroups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Inverse semigroup cohomology and crossed module extensions of semilattices of groups by inverse semigroups