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.
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页码：281 / 296
页数：16
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