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https://hdl.handle.net/11147/4821| Title: | Completely cotorsion modules | Authors: | Pusat, Dilek | Keywords: | Cotorsion envelopes Flat covers Hereditary rings Pure-injective modules Semilocal rings |
Publisher: | Publishing House of the Bulgarian Academy of Sciences | Source: | Pusat, D. (2012). Completely cotorsion modules. Comptes Rendus de L'Academie Bulgare des Sciences, 65(1), 11-18. | 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. | URI: | http://hdl.handle.net/11147/4821 | ISSN: | 1310-1331 |
| Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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