Hostname: page-component-5c6d5d7d68-thh2z Total loading time: 0 Render date: 2024-08-09T20:12:32.439Z Has data issue: false hasContentIssue false
  • English
  • Français

A Note on Absolutely Pure Modules

Published online by Cambridge University Press:  20 November 2018

Edgar Enochs
Edgar Enochs*
Affiliation:
University of KentuckyLexington, Kentucky 40506, U.S.A.
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.

Fieldhouse observed that any finitely presented left R-module P is projective with respect to pure exact sequences, i.e.

can always be completed to a commutative diagram when the sequence is pure exact. A left R-module A is absolutely pure if it is a pure submodule of every module which contains it.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 3 , 01 September 1976 , pp. 361 - 362
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Maddox, B. H., Absolutely Pure Modules, Proc. Amer. Math. Soc. 18 (1967) 155–158.Google Scholar
2. Megibben, C., Absolutely Pure Modules, Proc. Amer. Math. Soc. 26 (1970) 561–566.Google Scholar