Certain Clean Decompositions for Matrices over Local Rings

被引：0
|
作者：
Kurtulmaz, Yosum [1 ]
Kose, Handan [2 ]
Chen, Huanyin [3 ]
机构：
[1] Bilkent Univ, Dept Math, Ankara, Turkiye
[2] Ahi Evran Univ, Dept Math, Kirsehir, Turkiye
[3] Fuzhou Univ Int Studies & Trade, Sch Big Data, Fuzhou 350202, Peoples R China
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2023年 / 63卷 / 04期
关键词：
Strongly clean matrix; Strongly rad-clean matrix; Local ring; Power-series; SUM;
D O I：
10.5666/KMJ.2023.63.4.561
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An element a E R is strongly rad-clean provided that there exists an idempotent e E R such that a -e E U(R), ae = ea and eae E J(eRe). In this article, we completely determine when a 2 x 2 matrix over a commutative local ring is strongly rad clean. An application to matrices over power-series is also given.
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页码：561 / 569
页数：9
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