ALL MODULES HAVE FLAT COVERS 论文
2001Bulletin of the London Mathematical Society引用 368
Commutative Algebra and Its ApplicationsAlgebraic Geometry and Number TheoryPolynomial and algebraic computation
摘要
In this paper we give two different proofs that the flat cover conjecture is true: that is, every module has a flat cover. The two proofs are of completely different nature, and, we hope, will have different applications. The first of the two proofs (due to the third author) is essentially an application of the work of P. Eklof and J. Trlifaj (work which is more set-theoretic). The second proof (due to the first two authors) is more direct, and has a model-theoretic flavour.