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

DOI10.1515/spma-2021-0146zbMath1485.15037OpenAlexW3200831101MaRDI QIDQ2062661

Grigore Călugăreanu

Publication date: 30 December 2021

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2021-0146

zbMATH Keywords

quadratic Diophantine equationnilpotent matrixidempotent matrix\(2 \times 2\) matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Uses Software

• QUAD
• BCMath

Cites Work

• Euclidean pairs and quasi-Euclidean rings.
• Factorizations of integer matrices as products of idempotents and nilpotents
• Products of elementary matrices and non-Euclidean principal ideal domains
• Nilpotent factorization of matrices
• Minimal Pr\"ufer-Dress rings and products of idempotent matrices
• Decomposition of singular elements of an algebra into product of idempotents, a survey
• Decomposition of singular matrices into idempotents
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• On products of idempotent matrices
• Products of idempotent matrices
• Products of nilpotent matrices
• Products of nilpotent matrices
• Products of idempotent matrices

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