Artinian rings having a nilpotent group of units
type: Item
instance of: scholarly article
title: Artinian rings having a nilpotent group of units
zbMATH Open document ID: 0667.16011
DOI: 10.1016/0021-8693(89)90062-8
author: Ghiocel Groza
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: This paper studies indecomposable Artinian rings which are finite modules over their centers and which have nilpotent unit groups. Specifically, these are shown to be homomorphic images of certain crossed products.
Mathematics Subject Classification ID: 16P20
Mathematics Subject Classification ID: 16U60
zbMATH DE Number: 4091692
zbMATH Keywords: indecomposable Artinian rings
zbMATH Keywords: nilpotent unit groups
zbMATH Keywords: crossed products
reviewed by: D. S. Passman
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90062-8
OpenAlex ID: W2000132509
cites work: Conditions which imply that subrings of artinian rings are artinian.
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cites work: Observations on group rings
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description: scientific article; zbMATH DE number 4091692