Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597403 | Journal of Pure and Applied Algebra | 2009 | 4 Pages |
Abstract
We show that if A and B are finitely generated two-dimensional unique factorization domains over an algebraically closed field, then A[x]â
B[x] implies Aâ
B. The proof is an application of an algebraic technique involving the AK invariant which has previously been used to obtain other cancellation theorems.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Anthony J. Crachiola,