Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-31T19:26:30.000Z Has data issue: false hasContentIssue false
  • English
  • Français

On a Paper of G. Mason

Published online by Cambridge University Press:  20 November 2018

Shalom Feigelstock
Shalom Feigelstock*
Affiliation:
Bar-Ilan University Ramat-Gan, Israel
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.

Mason, [1, Theorem 2.6], proved that for any near-ring R, there are no non-trivial injective R-modules. In his proof he embedded R into a simple R -module G of arbitrarily high cardinality.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 2 , 01 June 1981 , pp. 247 - 248
Copyright
Copyright © Canadian Mathematical Society 1981

References

1. Mason, G., Injective and projective near-ring modules, Compositio Math.. 33 (1976), 43-54.Google Scholar
2. Klein, A., Infectives and simple objects, J. of Pure and Applied Algebra,. 15 (1979), 243-245.Google Scholar