A Note on Absolutely Pure Modules
Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 361-362
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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.
Enochs, Edgar. A Note on Absolutely Pure Modules. Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 361-362. doi: 10.4153/CMB-1976-054-5
@article{10_4153_CMB_1976_054_5,
author = {Enochs, Edgar},
title = {A {Note} on {Absolutely} {Pure} {Modules}},
journal = {Canadian mathematical bulletin},
pages = {361--362},
year = {1976},
volume = {19},
number = {3},
doi = {10.4153/CMB-1976-054-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-054-5/}
}
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