Maps on idempotent matrices over division rings

DOI10.1016/j.jalgebra.2005.08.010zbMath1155.15302OpenAlexW1983648309MaRDI QIDQ2491841

Peter Šemrl

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.08.010

zbMATH Keywords

mapslinear preserverorthogonalitydivision ringscommutativityidempotent matricesgeometry of matricesOvshinnikov's theoremquaternionic analogue

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04)

Related Items (18)

Maps on matrix spaces ⋮ A New Simultaneous Decomposition of a Matrix Quaternity Over an Arbitrary Division Ring with Applications ⋮ Homomorphisms of matrix semigroups over division rings from dimension two to four ⋮ On automorphism group of orthogonality graph of finite semisimple rings ⋮ Linear transformations between multipartite quantum systems that map the set of tensor product of idempotent matrices into idempotent matrix set ⋮ Wigner's theorem on Grassmann spaces ⋮ Maps preserving the ascent and descent of product of operators ⋮ Automorphisms of \(\mathbf M_n(\mathbb{D})\), partially ordered by rank subtractivity ordering ⋮ Endomorphisms of matrix semigroups over division rings. ⋮ Automorphism group and fixing number of the orthogonality graph based on rank one upper triangular matrices ⋮ An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications ⋮ Good distance graphs and the geometry of matrices ⋮ Maps on idempotent operators with infinite-dimensional kernel ⋮ Homomorphisms of Matrix Semigroups over Division Rings from Dimension Two to Three ⋮ Endomorphisms of the poset of idempotent matrices ⋮ Unnamed Item ⋮ Similarity Jordan multiplicative maps ⋮ Lie product preserving maps on Mn(F)

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