The Engel-Jacobson theorem revisited

DOI10.1016/0021-8693(87)90227-4zbMath0645.15010OpenAlexW2035903596MaRDI QIDQ1103023

Heydar Radjavi

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90227-4

zbMATH Keywords

Lie algebranoncommutative polynomialgeneral triangularizabilityJacobson and Engel's theoremnilpotent linear operators

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items

On commutative finite-dimensional nilalgebras ⋮ The structured Gerstenhaber problem. I. ⋮ The structured Gerstenhaber problem. II. ⋮ On families of anticommuting matrices ⋮ On certain linear spaces of nilpotent matrices ⋮ Trace-preserving homomorphisms of semigroups. ⋮ Matrix groups with positive spectra ⋮ Maximal Jordan algebras of matrices with bounded number of eigenvalues ⋮ Linear spaces of symmetric nilpotent matrices ⋮ Sets of matrices with singleton spectra generated by positive matrices ⋮ Linear spaces of nilpotent matrices ⋮ On the equationAB=BXin collections of matrices ⋮ Lie algebras admitting a hypercentrally regular automorphism

Cites Work

• On certain concepts in the theory of algebraic matric groups
• A Trace Condition Equivalent to Simultaneous Triangularizability
• Banach-Lie algebras of compact operators
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