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Projective modules over overrings of polynomial rings and a question of Quillen

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Title Projective modules over overrings of polynomial rings and a question of Quillen
 
Creator KESHARI, MK
LOKHANDE, SA
 
Subject IDEALS
 
Description Let (R, m, K) be a regular local ring containing a field k such that either char k = 0 or char k = p and tr-deg K/F-p >= 1. Let g(1), ... , g(t) be regular parameters of R which are linearly independent modulo m(2). Let A = Rg(1) .. g(t)[Y-1, ... Y-m, f(1)(l(1))(-1), ... , f(n)(l(n))(-1)], where f(i)(T) is an element of k[T] and l(1) = a(i1) Y-1 + ... + a(1m)Y(m) with (a(i1), ... , al(m)) is an element of k(m) - (0). Then every projective A-module of rank >= t is free. Laurent polynomial case f(i)(l(i)) = Y-i of this result is due to Popescu. (C) 2013 Elsevier B.V. All rights reserved.
 
Publisher ELSEVIER SCIENCE BV
 
Date 2014-12-28T16:24:40Z
2014-12-28T16:24:40Z
2014
 
Type Article
 
Identifier JOURNAL OF PURE AND APPLIED ALGEBRA, 218(6)1003-1011
0022-4049
1873-1376
http://dx.doi.org/10.1016/j.jpaa.2013.10.015
http://dspace.library.iitb.ac.in/jspui/handle/100/16877
 
Language English