Homology of precrossed modules
type: Item
instance of: scholarly article
title: Homology of precrossed modules
zbMATH Open document ID: 1033.18010
author: Daniel Arias
author: M. Ladra
author: A. R. Grandjeán
published in: Illinois Journal of Mathematics
publication date: 2004-03-23T00:00:00Z
full work available at URL: ladra.html
review text: The authors develop the basic elements to define cotriple homology and cohomology theories in the whole category of precrossed modules. First it is proved that the category of precrossed modules is an algebraic category, i.e., there exists a tripleable forgetful functor from this category to the category of sets. Then the authors show that this cotriple (co)homology theory generalizes the Eilenberg-MacLane theory of (co)homology groups. Finally, relationships with other (co)homology theories are considered.
Mathematics Subject Classification ID: 18G60
Mathematics Subject Classification ID: 18G30
Mathematics Subject Classification ID: 20J05
zbMATH DE Number: 1865530
zbMATH Keywords: crossed modules
zbMATH Keywords: precrossed modules
reviewed by: Cornel Baetica
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1865530