Cancellation theorems for projective modules over a two-dimensional ring and its polynomial extensions

Authors
Citation
Sm. Bhatwadekar, Cancellation theorems for projective modules over a two-dimensional ring and its polynomial extensions, COMP MATH, 128(3), 2001, pp. 339-359
Citations number
24
Categorie Soggetti
Mathematics
Journal title
COMPOSITIO MATHEMATICA
ISSN journal
0010437X → ACNP
Volume
128
Issue
3
Year of publication
2001
Pages
339 - 359
Database
ISI
SICI code
0010-437X(200109)128:3<339:CTFPMO>2.0.ZU;2-E
Abstract
We show that over polynomial extensions of normal affine domains of dimensi on two over perfect fields (char. not equal 2) of cohomological dimension l ess than or equal to 1, all finitely generated projective modules are cance llative, thus answering a question of Weibel affirmatively in the case of p olynomial extensions.