Let A be an affine algebra of dimension n over an algebraically closed field k with 1! 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.
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机译：设A为1 / n代数闭合场k上维数为n的仿射代数！是k的元素。令P为等级n-1的射影A模。那么，由于N. Mohan Kumar，P是否为可推式是一个开放的问题。我们证明以下结果：（i）如果A = R [T，T-1]，则P是可加的。 （ii）如果A = R [T，1 / f]或A = R [T，f（1）/ f .... f（r）/ f]，其中f（T）是一元多项式， f，f（1），.....，f（r）是R [T]规则序列，则A（n-1）是可取消的。此外，如果k =（F）超过小节（p），则P是可取消的。
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