Hua's fundamental theorem of the geometry of matrices.

DOI10.1016/j.jalgebra.2003.07.019zbMath1085.15019OpenAlexW1989229665MaRDI QIDQ1427374

Peter Šemrl

Publication date: 14 March 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.07.019

zbMATH Keywords

surjectiveidempotent matricesadjacencybijective mapsHua's fundamental theorem

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30)

Related Items

Maps on matrix spaces, Automorphisms of \(M_{n}\), partially ordered by rank subtractivity ordering, Maps on infinite triangular matrices preserving idempotents, Extending Hua's theorem on the geometry of matrices to Bézout domains, Endomorphisms of matrix semigroups over division rings., Graphs associated with matrices over finite fields and their endomorphisms, Monotone additive matrix transformations, Preservers of pairs of bivectors with bounded distance, Nonlinear maps preserving solvability, Good distance graphs and the geometry of matrices, Maps on idempotent matrices over division rings, Graph homomorphisms on rectangular matrices over division rings II, Unnamed Item, Geometry of \(2 \times 2\) Hermitian matrices over any division ring, Automorphisms of Mn, partially ordered by the star order, Nonlinear preservers of group invertible operators

Cites Work

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