Towards self-duality of semidistributive artinian rings
type: Item
instance of: scholarly article
title: Towards self-duality of semidistributive artinian rings
zbMATH Open document ID: 0712.16009
DOI: 10.1016/0021-8693(90)90150-M
author: Thomas Belzner
published in: Journal of Algebra
publication date: 1990-01-01T00:00:00Z
review text: Let R be a semidistributive artinian ring. Considering R as a normalizing ring extension over a ring T which is a product of uniserial artinian rings, the author characterizes the self-duality of R in terms of the structure parameters of the ring extension and gives an ideal \(I_ 0\) contained in \(R\cdot soc T\) such that the factor ring \(R/I_ 0\) is self- dual in the sense of Morita.
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16P20
Mathematics Subject Classification ID: 16S20
zbMATH DE Number: 4171148
zbMATH Keywords: semidistributive artinian ring
zbMATH Keywords: normalizing ring extension
zbMATH Keywords: uniserial artinian rings
zbMATH Keywords: self-duality
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4171148