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Flat covers and factorizations

✍ Scribed by J. Rosický

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
97 KB
Volume
253
Category
Article
ISSN
0021-8693

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✦ Synopsis

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.

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