Strongly clean matrix rings over commutative local rings

被引：46

作者：

Borooah, Gautam

Diesl, Alexander J.

Dorsey, Thomas J.

机构：

[1] Ctr Commun Res, San Diego, CA 92121 USA

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

[3] Vassar Coll, Dept Math, Poughkeepsie, NY 12604 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2008年 / 212卷 / 01期

关键词：

D O I：

10.1016/j.jpaa.2007.05.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We will completely characterize the commutative local rings for which M-n (R) is strongly clean, in terms of factorization in R[t]. We also obtain similar elementwise results which show additionally that for any monic polynomial f is an element of R[t], the strong cleanness of the companion matrix of f is equivalent to the strong cleanness of all matrices with characteristic polynomial f. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：281 / 296

页数：16

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