Homogeneous functions of modules over local rings. II
type: Item
instance of: scholarly article
title: Homogeneous functions of modules over local rings. II
zbMATH Open document ID: 0803.16042
DOI: 10.1007/BF03323145
published in: Results in Mathematics
publication date: 1995-01-03T00:00:00Z
review text: Es sei \(R\) ein von einem Körper verschiedener lokaler Ring mit nilpotentem Radikal und \(V\) ein treuer Rechtsmodul über \(R\). Unter Funktionenaddition und -komposition ist \(M_ R(V) = \{\alpha: V \to V \mid \alpha(vr) = \alpha(v)r\) für alle \(v \in V\) und alle \(r \in R\}\) ein zero-symmetrischer Rechtsfastring. In der vorliegenden Arbeit wird die Struktur des aus allen distributiven Elementen von \(M_ R(V)\) bestehenden Teilfastringes untersucht. Weiter werden Bedingungen aufgestellt, unter denen jedes Element von \(M_ R(V)\) ein lokaler \(R\)- Endomorphismus von \(V\) ist.
reviewed by: Hans Lausch
Mathematics Subject Classification ID: 16Y30
Mathematics Subject Classification ID: 16W20
zbMATH DE Number: 554052
zbMATH Keywords: local ring
zbMATH Keywords: zero-symmetric near-rings
zbMATH Keywords: distributive elements
zbMATH Keywords: local endomorphisms
author: C. J. Maxson
MaRDI profile type: Publication
cites work: On Rings for which Homogeneous Maps are Linear
cites work: Q3140872
cites work: Piecewise endomorphisms of PID-modules
cites work: Distributive elements in centralizer near-rings
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description: scientific article; zbMATH DE number 554052