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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.
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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