Complete cohomology for arbitrary rings using injectives
type: Item
instance of: scholarly article
title: Complete cohomology for arbitrary rings using injectives
zbMATH Open document ID: 0954.16008
DOI: 10.1016/S0022-4049(97)00082-0
author: Brita E. A. Nucinkis
published in: Journal of Pure and Applied Algebra
publication date: 2000-11-22T00:00:00Z
review text: Vogel [see \textit{F. Goichot}, J. Pure Appl. Algebra 82, No. 1, 39-64 (1992; Zbl 0767.55004)] and \textit{G. Mislin} [Topology Appl. 56, No. 3, 293-300 (1994; Zbl 0810.20040)] generalized Tate-Farrell cohomology of groups by means of projective complete cohomology groups. The author searches for an alternative approach using injectives and presents necessary and sufficient conditions for it to be equivalent to the projective complete one.
Mathematics Subject Classification ID: 16E30
Mathematics Subject Classification ID: 16E40
Mathematics Subject Classification ID: 20J06
Mathematics Subject Classification ID: 18G10
zbMATH DE Number: 1308235
zbMATH Keywords: cohomological functors
zbMATH Keywords: complete cohomology
zbMATH Keywords: satellites
zbMATH Keywords: Tate-Farrell cohomology
reviewed by: Marek Golasiński
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1308235