Linear operators preserving idempotent matrices over fields

DOI10.1016/0024-3795(91)90016-PzbMath0718.15004MaRDI QIDQ2639122

Norman J. Pullman, Leroy B. Beasley

Publication date: 1991

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

semigroupsimilarity operatorslinear operatorsidempotence preserving

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items (17)

Surjective linear transformations of tropical matrices preserving transitive closures ⋮ Linear preservers for matrices over a class of semirings ⋮ Additive maps preserving M-P inverses of matrices over Fields^∗ ⋮ On maps preserving square-zero matrices. ⋮ Linear maps preserving idempotence on matrix modules over principal ideal domains ⋮ Linear preserver problems and algebraic groups ⋮ Additive Maps Preserving Moore–Penrose Inverses of Matrices on Symmetric Matrix Spaces ⋮ Maps on infinite triangular matrices preserving idempotents ⋮ Linear operators preserving idempotence on matrix spaces over skew-fields ⋮ Idempotent elements determined matrix algebras ⋮ Linear preservers on powers of matrices ⋮ Linear preservers of zeros of matrix polynomials ⋮ 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 ⋮ Potent preservers of incidence algebras ⋮ Preserving Zeros of a Polynomial ⋮ Additive operators preserving idempotent matrices over fields and applications

Cites Work

• Linear preservers on matrices
• Linear maps that preserve matrices annihilated by a polynomial
• Linear operators strongly preserving idempotent matrices over semirings

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