Flat submodules of free modules over commutative Bezout rings

被引：2

作者：

Samei, K ^{[1
]}

机构：

[1] Bu Ali Sina Univ, Dept Math, Hamedan, Iran

[2] Inst Studies Theoret Phys & Math, IPM, Tehran, Iran

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2005年 / 71卷 / 01期

关键词：

D O I：

10.1017/S0004972700038065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ring is called Bezout if every finitely generated ideal is principal. We show that every ideal of a commutative Bezout ring R is flat if and only if every submodule of a free R-module is flat. Using this theorem we obtain Neville's theorem.

引用

页码：113 / 119

页数：7

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