Completely Cotorsion Modules
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Authors
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.
Description
Keywords
Cotorsion envelopes, Flat covers, Hereditary rings, Pure-injective modules, Semilocal rings
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Citation
Pusat, D. (2012). Completely cotorsion modules. Comptes Rendus de L'Academie Bulgare des Sciences, 65(1), 11-18.
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Volume
65
Issue
1
Start Page
11
End Page
18
