奇异矩阵是两个幂等矩阵或两个幂零矩阵的乘积

IF 0.8 Q2 MATHEMATICS

Special Matrices Pub Date : 2021-09-17 DOI:10.1515/spma-2021-0146

G. Călugăreanu

引用次数: 0

摘要

摘要在交换域上，我们刻画了两个幂等矩阵或两个幂零矩阵乘积的奇异2 × 2矩阵。相关的情况是第二行为零的矩阵和只有非零项的奇异矩阵。

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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Singular matrices that are products of two idempotents or products of two nilpotents

Abstract Over commutative domains we characterize the singular 2 × 2 matrices which are products of two idempotents or products of two nilpotents. The relevant casees are the matrices with zero second row and the singular matrices with only nonzero entries.

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来源期刊

Special Matrices MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

8 weeks

期刊介绍： Special Matrices publishes original articles of wide significance and originality in all areas of research involving structured matrices present in various branches of pure and applied mathematics and their noteworthy applications in physics, engineering, and other sciences. Special Matrices provides a hub for all researchers working across structured matrices to present their discoveries, and to be a forum for the discussion of the important issues in this vibrant area of matrix theory. Special Matrices brings together in one place major contributions to structured matrices and their applications. All the manuscripts are considered by originality, scientific importance and interest to a general mathematical audience. The journal also provides secure archiving by De Gruyter and the independent archiving service Portico.