Sums of nilpotent matrices

DOI10.1080/03081087.2016.1167816zbMath1360.16026OpenAlexW2332209017MaRDI QIDQ2961453

Grigore Călugăreanu, Simion Sorin Breaz

Publication date: 20 February 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1167816

zbMATH Keywords

tracequadratic Diophantine equationnilpotent matrix

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Conditions on elements (16U99)

Related Items (6)

Decompositions of matrices by using commutators ⋮ When Is Every Non Central-Unit A Sum of Two Nilpotents? ⋮ A note on sums of three square-zero matrices ⋮ Endomorphisms of free modules as sums of four quadratic endomorphisms ⋮ On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts ⋮ When is a matrix a sum of involutions or tripotents?

Cites Work

• Nil-clean companion matrices
• Matrix completion problems
• Endomorphisms of finitely generated projective modules over a commutative ring
• Two classes of rings generated by their units
• Sums of small numbers of idempotents
• Commutator rings
• 2-GOOD RINGS
• On the Representation of an Idempotent as a Sum of Nilpotent Elements
• On Similarity and the Diagonal of a Matrix

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