A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE

被引：75

作者：

Lam, T. Y. ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2004年 / 3卷 / 03期

关键词：

Cancellation; substitution; exchange; stable range; endomorphism rings; von Neumann regular rings; unit regular rings; exchange rings;

D O I：

10.1142/S0219498804000897

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The themes of cancellation, internal cancellation, substitution and exchange have led to a lot of interesting research in the theory of modules over commutative and noncommutative rings. This article provides a quick and relatively self-contained introduction to the voluminous work in this area, using the notion of the stable range of rings as a unifying tool. With only a small number of exceptions, all theorems stated here are proved in full, modulo basic facts in the theory of modules and rings available in standard textbooks on ring theory.

引用

页码：301 / 343

页数：43

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