Partial cohomology of groups and extensions of semilattices of abelian groups

Author(s)

Dokuchaev, Mikhailo ^[1] ; Khrypchenko, Mykola ^[2]

Affiliation

^[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

^[2] Univ Fed Santa Catarina, Dept Matemat, Campus Reitor Joao David Ferreira Lima, BR-88040900 Florianopolis, SC - Brazil

• Document type: Journal article
• Source: Journal of Pure and Applied Algebra; v. 222, n. 10, p. 2897-2930, OCT 2018.
• Web of Science Citations: 1

Abstract

We extend the notion of a partial cohomology group H-n(G,A) to the case of non-unital A and find interpretations of H-1(G,A) and H-2(G,A) in the theory of extensions of semilattices of abelian groups by groups. (C) 2017 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 12/01554-7 - Partial actions and representations, cohomology and globalization
• Grantee: Mykola Khrypchenko
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 15/09162-9 - Non commutative algebra and applications
• Grantee: Francisco Cesar Polcino Milies
• Support Opportunities: Research Projects - Thematic Grants