Maps on simple algebras preserving zero products. II: Lie algebras of linear type

DOI10.2140/pjm.1981.92.469zbMath0415.17008OpenAlexW2095158912MaRDI QIDQ599896

Warren J. Wong

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1981.92.469

zbMATH Keywords

Lie algebraalgebras of linear transformationsfinite-dimensional simple associative algebra

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Linear transformations, semilinear transformations (15A04) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (14)

Invertible linear maps on Borel subalgebras preserving zero Lie products ⋮ Zero product determined \(n\)-th Schrödinger algebra ⋮ Chapter 2:rank and tensor rank ⋮ Commutativity-preserving maps on Lie ideals of prime algebras. ⋮ Invertible Linear Maps on Simple Lie Algebras Preserving Solvability ⋮ Strong commutativity preserving maps on Lie ideals. ⋮ Zero product determined Lie algebras ⋮ A class of zero product determined Lie algebras ⋮ Nonlinear bijective maps on strictly upper triangular matrices preserving zero product ⋮ Linear rank one preservers between spaces of matrices with zero trace ⋮ Preserving Zeros of a Polynomial ⋮ Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group ⋮ The automorphisms of the unipotent radical of certain parabolic subgroups of \(GL(1+\ell,K)\) ⋮ Linear transformations on self-adjoint matrices: The preservation of rank-one-plus-scalar

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