Decomposition of Jordan automorphisms of strictly triangular matrix algebra over local rings

DOI10.1016/j.laa.2004.06.009zbMath1056.17025OpenAlexW2043056126MaRDI QIDQ1887501

Hong You, Xing Tao Wang

Publication date: 26 November 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.06.009

zbMATH Keywords

local ringJordan automorphismstrictly triangular matrix algebra

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Associated groups, automorphisms of Jordan algebras (17C30)

Related Items

Decomposition of Jordan Automorphisms of Strictly Upper Triangular Matrix Algebra Over Commutative Rings ⋮ Decomposition of Lie automorphisms of upper triangular matrix algebra over commutative rings ⋮ Automorphisms of a linear Lie algebra over a commutative ring ⋮ Jordan derivation of certain Jordan matrix algebras ⋮ Automorphisms and model-theory questions for nilpotent matrix groups and rings. ⋮ JORDAN ISOMORPHISMS OF RADICAL FINITARY MATRIX RINGS ⋮ DECOMPOSITION OF JORDAN AUTOMORPHISMS OF TRIANGULAR MATRIX ALGEBRA OVER COMMUTATIVE RINGS ⋮ Jordan Derivations on Strictly Triangular Matrix Rings

Cites Work

• Jordan mappings of semiprime rings
• Automorphisms of upper triangular matrix rings
• Jordan homomorphisms of semiprime rings
• Automorphisms of certain Lie algebras of upper triangular matrices over a commutative ring
• Jordan isomorphisms of triangular matrix algebras over a connected commutative ring
• On semi-automorphisms of division algebras
• Jordan Homomorphisms
• Automorphisms of the Lie algebra of strictly upper triangular matrices over certain commutative rings
• The automorphism group of certain radical matrix rings
• Modular automorphisms preserving idempotence and Jordan isomorphisms of triangular matrices over commutative rings

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