Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-28T11:38:54.696Z Has data issue: false hasContentIssue false
  • English
  • Français

Epimorphisms of Modules which must be Isomorphisms

Published online by Cambridge University Press:  20 November 2018

D. Ž. Djoković
D. Ž. Djoković*
Affiliation:
University of Waterloo, Waterloo, Ontario
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let R be an associative ring (not necessarily with identity).

R is a left П-ring if it has the following property: Let M be a finitely generated left R-module, N a submodule of M and ϕ:N→M an epimorphism. Then ϕ is an isomorphism.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 4 , December 1973 , pp. 513 - 515
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Orzech, M., Onto endomorphisms are isomorphisms, Amer. Math. Monthly 78 (1971), 357–362 Google Scholar