When is every matrix over a division ring a sum of an idempotent and a nilpotent?-Reference-Cited by-同舟云学术

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When is every matrix over a division ring a sum of an idempotent and a nilpotent?

Published:2014-06 Issue: Volume:450 Page:7-12
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Koşan M. Tamer,Lee Tsiu-Kwen,Zhou Yiqiang

Funder

NCTS

TUBITAK

NSC

NSERC

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference4 articles.

1. Nil-clean matrix rings;Breaz;Linear Algebra Appl.,2013

2. Classes of strongly clean rings;Diesl,2006

3. Nil clean rings;Diesl;J. Algebra,2013

4. Diagonability of idempotent matrices over noncommutative rings;Song;Linear Algebra Appl.,1999

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1. Construction of strongly r-clean elements in the certain 3x3 matrix ring over ℤp2, p prime;AIP Conference Proceedings;2024

2. On feebly nil-clean rings;Czechoslovak Mathematical Journal;2023-12-07

3. Rings close to periodic with applications to matrix, endomorphism and group rings;Communications in Algebra;2023-11-14

4. A Multiplicative Dual Nil Q-Clean Rings;Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi;2022-08-31

5. When is every matrix over a ring the sum of two tripotents?;Linear Algebra and its Applications;2021-12

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