Hopfian rings and Hopfian modules
type: Item
instance of: scholarly article
title: Hopfian rings and Hopfian modules
zbMATH Open document ID: 0603.16031
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The author generalizes Baumslag's notion of Hopfian groups to rings and modules. If R is a Hopfian Boolean ring and X is the space of all maximal ideals of R with the hull-kernel topology, then every injective continuous map of X into X is a homeomorphism. The properties of Hopfian modules over special types of rings are also studied.
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 06E20
Mathematics Subject Classification ID: 16D80
zbMATH DE Number: 3973098
zbMATH Keywords: Hopfian Boolean ring
zbMATH Keywords: maximal ideals
zbMATH Keywords: hull-kernel topology
zbMATH Keywords: Hopfian modules
author: Veereshwar A. Hiremath
reviewed by: Manuel Abad
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3973098