Duality theorems for graded algebras and coalgebras
type: Item
instance of: scholarly article
title: Duality theorems for graded algebras and coalgebras
zbMATH Open document ID: 0880.16019
published in: Journal of Algebra
publication date: 1997-08-04T00:00:00Z
full work available at URL: 5121.pdf
review text: The paper deals with the study of duality for the smash product (or coproduct) associated to a \(G\)-set and a \(G\)-graded algebra (or coalgebra), where \(G\) is a group. Endomorphism rings are also studied. The approach and methods of this paper (e.g. the example showing that the Cohen-Montgomery duality does not necessarily hold for \(G\)-sets, or the use of Hopf modules over the group algebra) bring new information on both the particular case of \(G\)-gradings and the general case of Hopf algebra actions.
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16S40
zbMATH DE Number: 1026091
zbMATH Keywords: graded algebras
zbMATH Keywords: dualities
zbMATH Keywords: smash products
zbMATH Keywords: coalgebras
zbMATH Keywords: Cohen-Montgomery duality
zbMATH Keywords: Hopf modules
zbMATH Keywords: group algebras
zbMATH Keywords: Hopf algebra actions
author: Sorin Dascalescu
author: Constantin Năstăsescu
author: Fred Van Oystaeyen
author: Blas Torrecillas
reviewed by: Serban Raianu
MaRDI profile type: Publication
OpenAlex ID: W2005937289
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DOI: 10.1006/JABR.1996.6983
description: scientific article; zbMATH DE number 1026091