Fixed point rings of finite automorphism groups of hereditary finitely generated P.I. algebras
type: Item
instance of: scholarly article
title: Fixed point rings of finite automorphism groups of hereditary finitely generated P.I. algebras
zbMATH Open document ID: 0544.16016
DOI: 10.1016/0022-4049(84)90078-1
author: Søren Jøndrup
published in: Journal of Pure and Applied Algebra
publication date: 1984-01-01T00:00:00Z
review text: This paper gives some partial results on fixed point rings of finite groups acting on hereditary PI algebras. The proof of proposition 1.3 is wrong. The endomorphism ring is not A*G as claimed in the proof. The main result is that if G is a finite group of inner automorphisms of a hereditary finitely generated PI algebra and if each stalk is scalar local, then the fixed point ring is hereditary.
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 16Rxx
zbMATH DE Number: 3865516
zbMATH Keywords: fixed point rings
zbMATH Keywords: finite groups acting on hereditary PI algebras
zbMATH Keywords: inner automorphisms
zbMATH Keywords: hereditary finitely generated PI algebra
reviewed by: Robert L. Snider
MaRDI profile type: Publication
full work available at URL: 0022-4049(84)90078-1
OpenAlex ID: W2012499182
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description: scientific article; zbMATH DE number 3865516