Additive operators preserving idempotent matrices over fields and applications
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Publication:2564940
DOI10.1016/0024-3795(96)89195-6zbMath0861.15017OpenAlexW2020992110MaRDI QIDQ2564940
Publication date: 21 May 1997
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(96)89195-6
Theory of matrix inversion and generalized inverses (15A09) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)
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Maps on infinite triangular matrices preserving idempotents ⋮ Permanent Polya problem for additive surjective maps ⋮ Idempotent elements determined matrix algebras ⋮ Additive operators preserving rank-additivity on symmetry matrix spaces ⋮ Additive Hermitian idempotent preservers between operator algebras ⋮ Linear maps preserving Drazin inverses of matrices over fields ⋮ Tripotents in algebras: invertibility and hyponormality ⋮ Linear preservers between matrix modules over connected commutative rings ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices ⋮ Modular automorphisms preserving idempotence and Jordan isomorphisms of triangular matrices over commutative rings ⋮ Additive mappings preserving rank-one idempotents ⋮ Inverse-preserving linear maps between spaces of matrices over fields ⋮ Additive Drazin inverse preservers ⋮ Additive preservers of idempotence and Jordan homorphisms between rings of square matrices ⋮ Additive idempotence preservers ⋮ Additive rank-one preserving surjections on symmetric matrix spaces ⋮ Commuting traces of multiadditive maps on invertible and singular matrices
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