Sums of commuting square-zero transformations

DOI10.1016/j.laa.2009.06.010zbMath1178.15002OpenAlexW2162807268MaRDI QIDQ732067

Nika Novak

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.06.010

zbMATH Keywords

commuting matrices and linear transformationssquare-zero matricessquare-zero transformations

Mathematics Subject Classification ID

Commutativity of matrices (15A27) General theory of linear operators (47A99) Linear transformations, semilinear transformations (15A04)

Related Items (4)

Sums of square-zero endomorphisms of a free module. ⋮ On the decompositions of infinite upper triangular matrices over rings ⋮ Sums and Products of Square-Zero Matrices ⋮ Sums of square-zero infinite matrices

Cites Work

• Products of unipotent matrices of index 2
• Products of square-zero operators
• The Group Generated by Unipotent Operators
• Sums of square-zero operators
• Products of nilpotent linear transformations
• On the closure of the sum of closed subspaces
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