Flat covers and factorizations

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Authors	ROSICKÝ J.
Year of publication	2002
Type	Article in Periodical
Magazine / Source	Journal of Algebra
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	flat cover; weak factorization system
Description	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.
Related projects:	Mathematical structures of algebra and geometry