3×3 idempotent matrices over some domains and a conjecture on nil-clean matrices

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI:10.47743/anstim.2022.00007

G. Călugăreanu

引用次数: 2

Abstract

A characterization of the 3 × 3 idempotent matrices over some integral domains is given, in terms of determinant, trace and rank. The conjecture: every nil-clean 3 × 3 integral matrix is exchange, is revisited. Several new cases are proved.

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3×3某些定义域上的幂等矩阵及零清洁矩阵的一个猜想

给出了3 × 3幂等矩阵在某些积分域上的行列式、迹和秩的刻画。重新考察了“每一个零清洗的3 × 3积分矩阵是交换的”的猜想。几个新的案例得到了证实。

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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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.