On the rigidity of small domains

被引：21

作者：

Crachiola, A ^{[1
]}

Makar-Limanov, L

机构：

[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

[2] Bar Ilan Univ, Dept Math & Comp Sci, IL-52900 Ramat Gan, Israel

来源：

JOURNAL OF ALGEBRA | 2005年 / 284卷 / 01期

关键词：

AK invariant; cancellation problem; locally nilpotent derivation; locally finite iterative higher derivation;

D O I：

10.1016/j.jalgebra.2004.09.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be an algebraically closed field of arbitrary characteristic. Let A be an affine domain over k with transcendence degree 1 which is not isomorphic to k[x], and let B be a domain over k. We show that the AK invariant distributes over the tensor product of A by B. As a consequence, we obtain a generalization of the cancellation theorem of S. Abhyankar, P. Eakin, and W. Heinzer. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：1 / 12

页数：12

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