Completely Cotorsion Modules
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Pusat, Dilek
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Abstract
We show that any finitely generated projective cotorsion left module over a ring of left pure global dimension at most 1 is a direct sum of indecomposable direct summands. We deduce that such a ring is left cotorsion and semiperfect if and only if its left cotorsion envelope is finitely presented. Some extensions of this result are also discussed.
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Citation
Pusat, D. (2012). Completely cotorsion modules. Comptes Rendus de L'Academie Bulgare des Sciences, 65(1), 11-18.
WoS Q
Q4
Scopus Q
Q4
Source
Comptes Rendus de L'Academie Bulgare des Sciences
Volume
65
Issue
1
Start Page
11
End Page
18
