DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS

DOI10.1142/S0219498810004154zbMath1204.16029MaRDI QIDQ3056455

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Publication date: 12 November 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Lie derivationsLie ringsJordan derivationsassociated Jordan ringsfinitary niltriangular matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Derivations, actions of Lie algebras (16W25)

Related Items (7)

Derivations of some classes of matrix rings ⋮ Local automorphisms of nilpotent algebras of matrices of small orders. ⋮ Derivations of a matrix ring containing a subring of triangular matrices. ⋮ Non-finitary generalizations of nil-triangular subalgebras of Chevalley algebras ⋮ Subgroups of a finitary linear group ⋮ Lie derivations of a matrix ring over an associative ring ⋮ Derivations of Rings of Infinite Matrices

Cites Work

• Unnamed Item
• Elementary equivalence and isomorphisms of locally nilpotent matrix groups and rings.
• Derivations of the Lie algebra of strictly upper triangular matrices over a commutative ring
• Herstein's Lie theory revisited
• Jordan homomorphisms of semiprime rings
• Lie ideals and derivations of prime rings
• Derivations and automorphisms of Jordan algebras in characteristic two
• Jordan derivations and antiderivations on triangular matrices
• Isomorphisms of certain locally nilpotent finitary groups and associated rings.
• Jordan mappings of semiprime rings II
• DERIVATIONS ON SUBRINGS OF MATRIX RINGS
• Decomposition of Jordan Automorphisms of Strictly Upper Triangular Matrix Algebra Over Commutative Rings
• On derivations of prime rings^*
• Lie Derivations of Triangular Algebras
• THE RADICAL OF A JORDAN ALGEBRA
• On Lie derivations of Lie ideals of prime algebras
• The automorphism group of certain radical matrix rings

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