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On Indecomposable Projective Modules

Published online by Cambridge University Press:  20 November 2018

John D. O'Neill
John D. O'Neill*
Affiliation:
University of DetroitDetroit, Michigan48221
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Abstract

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If P is an indecomposable projective R-module generated by a countable set X, then, for some countable subring S of R, P contains an indecomposable projective S-module generated by X. The subring S may be chosen to inherit many standard ring-theoretic properties from R.

Keywords

16A50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 3 , 01 September 1986 , pp. 375 - 377
Copyright
Copyright © Canadian Mathematical Society 1986

References

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3. Kaplansky, I., Projective modules, Ann. of Math., 68 (1958), pp. 372–377.Google Scholar
4. Kaplansky, I., Commutative Rings, Allyn and Bacon, Boston, 1970.Google Scholar