Nonlinear bijective maps on strictly upper triangular matrices preserving zero product

DOI10.1080/03081087.2015.1043719zbMath1342.15023OpenAlexW1544813991WikidataQ114100617 ScholiaQ114100617MaRDI QIDQ2787606

Dengyin Wang, Li Chen

Publication date: 4 March 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1043719

zbMATH Keywords

finite fieldstrictly upper triangular matricesnonlinear bijective mapszero product preserver

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear preserver problems (15A86)

Cites Work

• The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices
• A note on automorphisms of the zero-divisor graph of upper triangular matrices.
• Maps on simple algebras preserving zero products. II: Lie algebras of linear type
• Linear preserver problems: A brief introduction and some special techniques
• Maps on simple algebras preserving zero products. I: The associative case
• Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
• A note on algebra automorphisms of strictly upper triangular matrices over commutative rings
• Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space
• Maps characterized by action on zero products.
• Automorphisms of the Lie algebra of strictly upper triangular matrices over a commutative ring
• Linear Preserver Problems
• The group of commutativity preserving maps on strictly upper triangular matrices
• Mappings preserving zero products
• Automorphisms of the Lie algebra of strictly upper triangular matrices over certain commutative rings

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