Operations on triple cohomology
type: Item
instance of: scholarly article
title: Operations on triple cohomology
zbMATH Open document ID: 0647.18003
DOI: 10.1016/0022-4049(88)90082-5
author: Thomas F. Fox
published in: Journal of Pure and Applied Algebra
publication date: 1988-01-01T00:00:00Z
review text: Let (T,\(\mu\),\(\eta)\) be a triple on the category of R-modules. Given T- algebras AT\(\to A\) and BT\(\to B\), the author considers the non- homogeneous complex \[ 0 \to (A,B) \to (AT,B) \to (AT^ 2,B) \to ... \] enriched over the category of coalgebras. The circle product, satisfying a Leibniz formula on its cochains is defined. It implies the known examples and extends them to algebras of most general character [cf. \textit{M. Gerstenhaber}, Ann. Math., II. Ser. 78, 267-288 (1963; Zbl 0131.273)].
Mathematics Subject Classification ID: 18C15
Mathematics Subject Classification ID: 13D05
Mathematics Subject Classification ID: 18G50
Mathematics Subject Classification ID: 55U15
zbMATH DE Number: 4055852
zbMATH Keywords: cotriple
zbMATH Keywords: triple cohomology
zbMATH Keywords: category of R-modules
zbMATH Keywords: T-algebras
zbMATH Keywords: circle product
reviewed by: Marek Golasiński
MaRDI profile type: Publication
full work available at URL: 0022-4049(88)90082-5
OpenAlex ID: W2113410406
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description: scientific article; zbMATH DE number 4055852