Cancellation for two-dimensional unique factorization domains

被引：5

作者：

Crachiola, Anthony J. ^{[1
]}

机构：

[1] Saginaw Valley State Univ, Dept Math Sci, Univ Ctr, Saginaw, MI 48710 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2009年 / 213卷 / 09期

关键词：

AFFINE SURFACES;

D O I：

10.1016/j.jpaa.2009.01.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that if A and B are finitely generated two-dimensional unique factorization domains over an algebraically closed field, then A vertical bar x vertical bar congruent to B vertical bar x vertical bar implies A congruent to B. The proof is an application of an algebraic technique involving the AK invariant which has previously been used to obtain other cancellation theorems. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1735 / 1738

页数：4

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