The maximum dimension of nilpotent subspaces of \(K_ n\) satisfying the identity \(S_ d\)

DOI10.1016/0021-8693(84)90128-5zbMath0542.16014OpenAlexW2043345200MaRDI QIDQ795141

R. C. Courter

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90128-5

zbMATH Keywords

standard polynomial identitynilpotent subspace

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Algebraic systems of matrices (15A30) Rings with polynomial identity (16Rxx)

Cites Work

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• Maximal duo algebras of matrices
• On maximal commutative algebras of linear transformations
• Maximal Commutative Algebras of Linear Transformations
• Schur’s theorems on commutative matrices

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