Selfduality and strongly graded rings
type: Item
instance of: scholarly article
title: Selfduality and strongly graded rings
zbMATH Open document ID: 0873.16004
author: Shenggui Zhang
published in: Journal of Algebra
publication date: 1997-11-02T00:00:00Z
review text: Let \(R\) be a ring graded by a finite group \(G\). The author proves that \(R\) has graded self-duality iff the smash product \(R\# G\) has self-duality iff \(R\) has self-duality. If \(R\) is strongly graded then \(R\) has self-duality iff its initial subring \(R_e\) has self-duality. He also proves that a skew group ring \(S*_\alpha G\) has self-duality iff \(S\) has self-duality.
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16S35
zbMATH DE Number: 1014047
zbMATH Keywords: graded self-dualities
zbMATH Keywords: smash products
zbMATH Keywords: strongly graded rings
zbMATH Keywords: skew group rings
reviewed by: Xue Weimin
MaRDI profile type: Publication
full work available at URL: jabr.1997.6786
OpenAlex ID: W2023485832
cites work: Morita duality and graded rings
cites work: Q3957087
cites work: Q3032409
cites work: Group-Graded Rings, Smash Products, and Group Actions
cites work: Rings with Morita duality
cites work: Q4056148
cites work: Group-Graded Rings and Duality
DOI: 10.1006/JABR.1997.6786
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description: scientific article; zbMATH DE number 1014047