Adjacency preserving bijective maps on triangular matrices over any division ring
DOI10.1080/03081080903027751zbMath1209.15027OpenAlexW2147299913WikidataQ114100622 ScholiaQ114100622MaRDI QIDQ3060017
Publication date: 30 November 2010
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080903027751
division ringgeometry of matricestriangular matricessimple Artinian ringsemi-automorphismadjacency preserving mapsJordan triple product homomorphismsadditive Jordan homomorphismsHermitian, symmetric, alternate matrices
Infinite-dimensional and general division rings (16K40) Geometric invariant theory (14L24) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Representations of associative Artinian rings (16G10) Combinatorial geometries and geometric closure systems (51D20) Automorphisms and endomorphisms of algebraic structures (08A35) Linear preserver problems (15A86)
Cites Work
- Jordan isomorphisms of upper triangular matrix rings.
- Multiplicative semigroup automorphisms of upper triangular matrices over rings
- Additive rank-one preserving mappings on triangular matrix algebras
- Jordan isomorphisms of triangular matrix algebras over a connected commutative ring
- Coherence invariant mappings on block triangular matrix spaces
- Hua's fundamental theorems of the geometry of matrices and related results
- Adjacency preserving maps on upper triangular matrix algebras
- Automorphisms and derivations of upper triangular matrix rings
- Additive rank-one preservers on block triangular matrix spaces
- Geometry of block triangular matrices over a division ring
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