Flat modules and the behavior of a standard basis relative to an extension of the ground ring

被引：0

作者：

Golod E.S. ^{[1
]}

机构：

[1] Moscow State University, Moscow

来源：

Journal of Mathematical Sciences | 2012年 / 185卷 / 2期

关键词：

Commutative Ring; Broad Context; Standard Basis; Polynomial Ring; Natural Image;

D O I：

10.1007/s10958-012-0911-3

中图分类号：

学科分类号：

摘要：

The property of a generating set of a polynomial ideal or of an ideal of a free associative algebra over a commutative ring to be its Gröbner basis is kept by a flat (but not any) extension of the ground ring. The converse is proved in the broader context of standard bases for filtered modules. © 2012 Springer Science+Business Media, Inc.

引用

页码：221 / 223

页数：2