Sums of two square-zero matrices over an arbitrary field

DOI10.1016/j.laa.2011.07.011zbMath1298.15026OpenAlexW1998837471MaRDI QIDQ649552

J. D. Botha

Publication date: 2 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.07.011

zbMATH Keywords

tracesimilaritycompanion matrixalgebraic closurenilpotentfieldcharacteristic tworational canonical formnonderogatorysquare-zero

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (15)

Sums and products of pairs of quadratic endomorphisms of a countable-dimensional vector space ⋮ Sums of square-zero endomorphisms of a free module. ⋮ Matrices over finite fields as sums of periodic and nilpotent elements ⋮ The sum and the product of two quadratic matrices: regular cases ⋮ On the decompositions of infinite upper triangular matrices over rings ⋮ The sum of two quadratic matrices: exceptional cases ⋮ Sum of two strictly n -zero matrices ⋮ Sums of two triangularizable quadratic matrices over an arbitrary field ⋮ Nonderogatory matrices as sums of idempotent and nilpotent matrices ⋮ The quadratic sum problem for symplectic pairs ⋮ A note on bireflectional elements of an algebra ⋮ A note on sums of three square-zero matrices ⋮ Unnamed Item ⋮ Each symplectic matrix is a product of four symplectic involutions ⋮ Sums of square-zero infinite matrices

Cites Work

• Sums of square-zero operators
• Unnamed Item

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