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Flat Covers and Flat Representations of Quivers

✍ Scribed by Enochs, Edgar; Oyonarte, Luis; Torrecillas, Blas


Book ID
119938201
Publisher
Taylor and Francis Group
Year
2004
Tongue
English
Weight
249 KB
Volume
32
Category
Article
ISSN
0092-7872

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πŸ“œ SIMILAR VOLUMES


Brown representability and flat covers
✍ Henning Krause πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 66 KB

We exhibit a surprising connection between the following two concepts: Brown representability which arises in stable homotopy theory, and at covers which arise in module theory. It is shown that Brown representability holds for a compactly generated triangulated category if and only if for every add

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✍ J. RosickΓ½ πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 97 KB

The flat cover conjecture, saying that every module has a flat (pre)cover, has been recently proved by Bican, El Bashir, and Enochs. We relate flat precovers (and cotorsion preenvelopes) to weak factorizations and prove that flat monomorphisms form a left part of a weak factorization system.

Design of flat covers
✍ V. G. Karchevskii; M. G. Kravchenko; R. Z. Rakhmilevich πŸ“‚ Article πŸ“… 1970 πŸ› Springer 🌐 English βš– 131 KB
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In this article we define and study flat complexes over any ring. Also, we prove that any complex over a commutative noetherian ring with finite Krull dimension has a flat cover and a DG-flat cover.