Strongly clean triangular matrices over abelian rings

被引：2

作者：

Diesl, Alexander J. ^{[1
]}

Dorsey, Thomas J. ^{[2
]}

Iberkleid, Wolf ^{[3
]}

LaFuente-Rodriguez, Ramiro ^{[4
]}

McGovern, Warren Wm ^{[5
]}

机构：

[1] Wellesley Coll, Dept Math, Wellesley, MA 02481 USA

[2] Ctr Commun Res, San Diego, CA 92126 USA

[3] Nova SE Univ, Dept Math, Ft Lauderdale, FL 33314 USA

[4] DYouville Coll, Buffalo, NY USA

[5] Florida Atlantic Univ, HL Wilkes Honors Coll, Jupiter, FL USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2015年 / 219卷 / 11期

关键词：

EXCHANGE RINGS; IDEMPOTENTS;

D O I：

10.1016/j.jpaa.2015.03.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the problem of determining when a triangular matrix ring over a strongly clean ring is, itself, strongly clean. We prove that, if R is a commutative clean ring, then T-n(R) is strongly clean for every positive n. In the more general case that R is an abelian clean ring, we provide sufficient conditions which imply that T-n(R) is strongly clean. We end with a brief consideration of the non-abelian case. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：4889 / 4906

页数：18

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