Additive preservers of idempotence and Jordan homorphisms between rings of square matrices
From MaRDI portal
Publication:1034288
DOI10.1007/s10114-009-7165-0zbMath1187.15031OpenAlexW2012779746MaRDI QIDQ1034288
Xian Zhang, Hongmei Yao, Chong Guang Cao
Publication date: 11 November 2009
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-009-7165-0
ring homomorphismcommutative ringadditive preserveridempotenceJordan homomorphismidempotence-diagonalizable ringring anti-homomorphism
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)
Related Items
Maps on infinite triangular matrices preserving idempotents, Additive Hermitian idempotent preservers between operator algebras
Cites Work
- Adjacency preserving bijection maps of Hermitian matrices over any division ring with an involution
- Linear preservers on powers of matrices
- Linear maps preserving idempotence on matrix modules over principal ideal domains
- Characterization of Jordan homomorphism on \(M_ n\) using preserving properties
- Linear operators preserving adjoint matrix between matrix spaces
- Jordan isomorphisms of triangular matrix algebras over a connected commutative ring
- Some general techniques on linear preserver problems
- Linear preservers between matrix modules over connected commutative rings
- Linear transformations between matrix spaces that map one rank specific set into another
- Geometry of block triangular matrices over a division ring
- Additive mappings preserving rank-one idempotents
- Inverse-preserving linear maps between spaces of matrices over fields
- Additive operators preserving idempotent matrices over fields and applications
- Additive maps on matrix algebras preserving invertibility
- Linear Preserver Problems
- Linear Transformations Preserving Potent Matrices
- Linear Maps Transforming the Unitary Group
- Additive rank-one preservers between spaces of rectangular matrices
- A COUNTEREXAMPLE IN NOETHERIAN RINGS
- Modular automorphisms preserving idempotence and Jordan isomorphisms of triangular matrices over commutative rings
- Unnamed Item
- Unnamed Item
- Unnamed Item
