代数闭域和有限域上矩阵的若干分解

IF 0.4 Q4 MATHEMATICS

Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-10-01 DOI:10.17516/1997-1397-2021-14-5-547-553

P. Danchev

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引用次数: 3

摘要

研究了代数闭域或有限域上的每一个方阵何时可分解为幂幂矩阵和幂零矩阵的2阶和。这可能与我们最近发表在《线性与多线性代数》(2022)上的论文有关。我们也完全解决了当一个无限域上的每个方阵可以分解成一个周期矩阵和一个2阶幂零矩阵的问题

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Some Decompositions of Matrices over Algebraically Closed and Finite Fields

We study when every square matrix over an algebraically closed field or over a finite field is decomposable into a sum of a potent matrix and a nilpotent matrix of order 2. This can be related to our recent paper, published in Linear & Multilinear Algebra (2022). We also completely address the question when each square matrix over an infinite field can be decomposed into a periodic matrix and a nilpotent matrix of order 2

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来源期刊

Journal of Siberian Federal University-Mathematics & Physics MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量