On Gorenstein orders
type: Item
instance of: scholarly article
title: On Gorenstein orders
zbMATH Open document ID: 0704.16008
DOI: 10.1016/0021-8693(90)90138-E
author: Jeremy Haefner
published in: Journal of Algebra
publication date: 1990-01-01T00:00:00Z
review text: The structure of Gorenstein orders \(\Lambda\) over a local domain is investigated. If the algebra containing \(\Lambda\) has more than one block, a theorem of Milnor on projective modules implies a description of Gorenstein orders \(\Lambda\) in terms of their pullback structure. Using the characterization of representation-finite local orders by Drozd and Kirichenko, representation-finite local Gorenstein orders are described. The author also characterizes local Gorenstein orders in terms of a bilinear form in a similar way as this is done for Frobenius algebras.
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 16G30
Mathematics Subject Classification ID: 16G60
zbMATH DE Number: 4154656
zbMATH Keywords: projective modules
zbMATH Keywords: pullback structure
zbMATH Keywords: representation-finite local Gorenstein orders
zbMATH Keywords: bilinear form
reviewed by: Wolfgang Rump
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4154656