Local automorphisms of nilpotent algebras of matrices of small orders.

DOI10.3103/S1066369X13020047zbMath1293.16032MaRDI QIDQ1946934

A. P. Elisova

Publication date: 10 April 2013

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

associated Lie algebrasnilpotent algebraslocal automorphismslocal derivationslocal Lie automorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Derivations, actions of Lie algebras (16W25)

Related Items (2)

Nonfinitary algebras and their automorphism groups ⋮ Local Automorphisms of Nil-triangular Subalgebras of Classical Lie Type Chevalley Algebras

Cites Work

• Unnamed Item
• Elementary equivalence and isomorphisms of locally nilpotent matrix groups and rings.
• Connections between a unitriangular group and certain rings. II: Groups of automorphisms
• Local derivations and local automorphisms.
• Local derivations
• Local automorphisms and local derivations of nilpotent matrix algebras
• DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Local automorphisms

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