Finitely generated non-Hopf modules
type: Item
instance of: scholarly article
title: Finitely generated non-Hopf modules
zbMATH Open document ID: 0671.16006
DOI: 10.1007/BF01188681
author: Annabelle McIver
published in: Archiv der Mathematik
publication date: 1990-01-01T00:00:00Z
review text: The purpose of this paper is to study Hopf properties in the category of finitely generated RG-modules, where R is a commutative noetherian ring with unity and G is a soluble-by-finite group. A module is non-Hopf if and only if it is isomorphic to a proper quotient of itself. Those groups having such finitely generated RG-modules are classified.
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 20F19
Mathematics Subject Classification ID: 20C07
zbMATH DE Number: 4097571
zbMATH Keywords: non-Hopf modules
zbMATH Keywords: finitely generated RG-modules
zbMATH Keywords: soluble-by-finite group
MaRDI profile type: Publication
cites work: Q5562621
cites work: Finiteness Conditions for Soluble Groups
cites work: On Finitely Generated Soluble Groups With No Large Wreath Product Sections
cites work: Endomorphisms of infinite Soluble Groups
full work available at URL: https://doi.org/10.1007/bf01188681
OpenAlex ID: W2070142579
description: scientific article; zbMATH DE number 4097571