Singular matrices that are products of two idempotents or products of two nilpotents-Reference-Cited by-同舟云学术

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

Published:2021-09-17 Issue:1 Volume:10 Page:47-55
ISSN:2300-7451
Container-title:Special Matrices
language:en
Short-container-title:

Author:

Călugăreanu Grigore¹

Affiliation:

1. Babeş-Bolyai University , Cluj-Napoca , Romania

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2021-0146/pdf

Reference16 articles.

1. [1] A. Alahmadi, S. K. Jain, A. Leroy Decomposition of singular matrices into idempotents. Linear and Multilinear Algebra, 62 (1) (2014), 13-27.

2. [2] A. Alahmadi, S. K. Jain, T. Y. Lam and A. Leroy Euclidean pairs and quasi-Euclidean rings. J. Algebra 406 (2014), 154-170.

3. [3] D. Alpern Quadratic equation solver. www.alpertron.com.ar/QUAD.HTM.

4. [4] C. S. Ballantine Products of idempotent matrices. Linear Algebra Appl. 19 (1978), no. 1, 81–86.

5. [5] G. Călugăreanu 3 × 3 idempotent matrices over some domains and a conjecture on nil-clean matrices. submitted

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1. Idempotents which are products of two nilpotents;Special Matrices;2024-01-01

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