Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A simple proof of Gabber's theorem on projective modules over a localized local ring

Author: Richard G. Swan
Journal: Proc. Amer. Math. Soc. 103 (1988), 1025-1030
MSC: Primary 13C10; Secondary 14F05
MathSciNet review: 954977
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ A$ be a regular local ring of dimension 3 and let $ u$ be an element of $ A$ not in the square of the maximal ideal. Gabber has shown that all projective modules over $ A[{u^{ - 1}}]$ are free. An elementary proof of this fact is given here.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 13C10, 14F05

Retrieve articles in all journals with MSC: 13C10, 14F05

Additional Information

Article copyright: © Copyright 1988 American Mathematical Society