Cyclic homology via derived functors.
type: Item
instance of: scholarly article
title: Cyclic homology via derived functors.
zbMATH Open document ID: 1236.16008
author: Guram Donadze
author: N. Inassaridze
author: M. Ladra
published in: Homology, Homotopy and Applications
publication date: 2010-11-19T00:00:00Z
full work available at URL: a10
review text: The aim of this paper is to show how cyclic homology (as well as periodic cyclic and negative cyclic homologies) of a (non-unital) associative algebra over a commutative ring containing the field \(\mathbb Q\), can be described, in certain cases, in terms of cotriple derived functors. As applications, the authors obtain an axiomatic description and Hopf type formulas for cyclic homology [see \textit{G. J. Ellis}, Cah. Topologie Géom. Différ. Catég. 31, No. 2, 121-135 (1990; Zbl 0715.20035) and \textit{R. Brown, G. J. Ellis}, Bull. Lond. Math. Soc. 20, No. 2, 124-128 (1988; Zbl 0611.20032)].
Mathematics Subject Classification ID: 16E40
Mathematics Subject Classification ID: 18G10
Mathematics Subject Classification ID: 18G50
Mathematics Subject Classification ID: 18G25
Mathematics Subject Classification ID: 18G60
zbMATH DE Number: 5817847
zbMATH Keywords: cyclic homology
zbMATH Keywords: periodic cyclic homology
zbMATH Keywords: negative cyclic homology
zbMATH Keywords: cotriple derived functors
zbMATH Keywords: Hopf formula
reviewed by: Saïd Zarati
MaRDI profile type: Publication
DOI: 10.4310/HHA.2010.V12.N2.A10
description: scientific article; zbMATH DE number 5817847