𝔖 Bobbio Scriptorium
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Design of flat covers

✍ Scribed by V. G. Karchevskii; M. G. Kravchenko; R. Z. Rakhmilevich

Publisher
Springer
Year
1970
Tongue
English
Weight
131 KB
Volume
6
Category
Article
ISSN
0009-2355

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πŸ“œ SIMILAR VOLUMES

Flat Covers of Complexes
Flat Covers of Complexes
✍ Edgar E Enochs; J.R Garcı́a Rozas πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 158 KB

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.

Flat covers and factorizations
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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.

Brown representability and flat covers
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

Covers and Envelopes in Grothendieck Cat
Covers and Envelopes in Grothendieck Categories: Flat Covers of Complexes with Applications
✍ S.Tempest Aldrich; Edgar E Enochs; J.R Garcı́a Rozas; Luis Oyonarte πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 136 KB

In the general setting of Grothendieck categories with enough projectives, we prove theorems that make possible to restrict the study of the problem of the existence of -covers and envelopes to the study of some properties of the class . We then prove the existence of flat covers and cotorsion envel

Derived Functors of Hom Relative to Flat
Derived Functors of Hom Relative to Flat Covers
✍ Stephen T. Aldrich; Edgar E. Enochs; Juan A. Lopez Ramos πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 168 KB