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

Autor(es)

Dokuchaev, Mikhailo ; Khrypchenko, Mykola ; Makuta, Mayumi

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 593, p. 57-pg., 2022-03-01.

Resumo

We define and study the notion of a crossed module over an inverse semigroup and the corresponding 4-term exact sequences, called crossed module extensions. For a crossed module A over an F-inverse monoid T, we show that equivalence classes of admissible crossed module extensions of A by T are in a one-to-one correspondence with the elements of the cohomology group H3 <=(T1, A1). (c) 2021 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 15/09162-9 - Álgebra não comutativa e aplicações
• Beneficiário: Francisco Cesar Polcino Milies
• Modalidade de apoio: Auxílio à Pesquisa - Temático