Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-13T09:31:02.094Z Has data issue: false hasContentIssue false
  • English
  • Français

A short algebraic proof of a theorem of Warfield

Published online by Cambridge University Press:  26 February 2010

A. Laradji
A. Laradji
Affiliation:
Department of Mathematical Sciences, K.F.U.P.M., Dhahran 31261, Saudi Arabia.
Get access

Abstract

In this note we give a direct algebraic proof of a theorem of Warfield on algebraically compact modules. It is shorter than the one given by Azumaya in [1], in that it does not use the embedding of a module M into M** (where M* is the character Homz (M, Q/Z)).

Type
Research Article
Information
Mathematika , Volume 40 , Issue 2 , December 1993 , pp. 275 - 277
Copyright
Copyright © University College London 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Azumaya, G.. An algebraic proof of a theorem of Warfield on algebraically compact modules. Math. J. Okayama Univ., 28 (1986), 53–60.Google Scholar
2.Laradji, A.. Compactness in Modules. Ph.D Thesis (Sheffield University, 1985).Google Scholar
3.Warfield, R. B. Jr. Purity and algebraic compactness for modules. Pacific J. Math., 28 (1969), [ILL]–719.CrossRefGoogle Scholar