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Cancellation problem for projective modules over affine algebras

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Title Cancellation problem for projective modules over affine algebras
 
Creator KESHARI, MK
 
Subject laurent polynomial-rings
theorems
projective modules
affine domain
cancellation problem
 
Description Let A be an affine algebra of dimension n over an algebraically closed field k with 1/n! is an element of k. Let P be a projective A-module of rank n - 1. Then, it is an open question due to N. Mohan Kumar, whether P is cancellative. We prove the following results: (i) If A = R[T,T(-1)], then P is cancellative. (ii) If A = R[T, 1/f] or A = R[T, f(1)/f.....f(r)/f], where f(T) is a monic polynomial and f, f(1), ....., f(r) is R[T]-regular sequence, then A(n-1) is cancellative. Further, if k = (F) over bar (p), then P is cancellative.
 
Publisher CAMBRIDGE UNIV PRESS
 
Date 2011-07-19T09:59:59Z
2011-12-26T12:51:08Z
2011-12-27T05:37:33Z
2011-07-19T09:59:59Z
2011-12-26T12:51:08Z
2011-12-27T05:37:33Z
2009
 
Type Article
 
Identifier JOURNAL OF K-THEORY, 3(3), 561-581
1865-2433
http://dx.doi.org/10.1017/is008007024jkt057
http://dspace.library.iitb.ac.in/xmlui/handle/10054/5256
http://hdl.handle.net/10054/5256
 
Language en