Diagram cohomologies using categorical fibrations
type: Item
instance of: scholarly article
title: Diagram cohomologies using categorical fibrations
zbMATH Open document ID: 0858.18011
DOI: 10.1016/0022-4049(95)00126-3
author: Petar Pavešić
published in: Journal of Pure and Applied Algebra
publication date: 1997-03-25T00:00:00Z
review text: The paper presents a new approach to the construction of cohomology theories of small categories. It gives a method for the construction of a cohomology theory of diagrams of algebras using the pairing of categorical fibrations. This is linked to the generalized Baues cohomology of small categories with coefficients in a natural system [\textit{H.-J. Baues}, \textit{G. Wirsching}, ``Cohomology of small categories'', J. Pure Appl. Algebra 38, 187-211 (1985; Zbl 0587.18006)].
Mathematics Subject Classification ID: 18G60
Mathematics Subject Classification ID: 18D30
Mathematics Subject Classification ID: 18G50
zbMATH DE Number: 932638
zbMATH Keywords: diagram cohomologies
zbMATH Keywords: cohomology theories of small categories
zbMATH Keywords: categorical fibrations
zbMATH Keywords: Baues cohomology
reviewed by: Georges Hoff
MaRDI profile type: Publication
full work available at URL: 0022-4049(95)00126-3
OpenAlex ID: W2160609043
cites work: Cohomology of small categories
cites work: Q3961493
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cites work: Q5586462
cites work: Rings with several objects
description: scientific article; zbMATH DE number 932638