Linear transformations on matrices: The invariance of commuting pairs of matrices
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Publication:4180465
DOI10.1080/03081087808817236zbMath0397.15010OpenAlexW2049064949MaRDI QIDQ4180465
Publication date: 1978
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087808817236
Vector and tensor algebra, theory of invariants (15A72) Commutativity of matrices (15A27) Linear transformations, semilinear transformations (15A04)
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FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE ⋮ Commutativity-preserving and normal-preserving linear transformations on ⋮ On maps preserving zero Jordan products. ⋮ Linear preserver problems and algebraic groups ⋮ Maps on Matrix Algebras Preserving Commutativity ⋮ Chapter 4:algebraic sets, polynomials, and other functions ⋮ Chapter 7: linear preservers of relations on Matrix Spaces ⋮ Commutativity-preserving maps on Lie ideals of prime algebras. ⋮ Linear operators that strongly preserve commuting pairs of Boolean matrices ⋮ Linear transformations on symmetric matrices that preserve commutativity ⋮ Linear operators preserving the minimal rank ⋮ Linear preserver problems: A brief introduction and some special techniques ⋮ Additive mappings preserving commutativity ⋮ Normal-preserving linear transformations ⋮ Injective strong commutativity preservers on \(\mathcal{T}_{\infty}(F)\) ⋮ Preserving commutativity ⋮ Commuting traces and commutativity preserving maps on triangular algebras. ⋮ Continuous maps on triangular matrices that preserve commutativity ⋮ Linear preservers of zeros of matrix polynomials ⋮ Invertible commutativity preservers of matrices over max algebra ⋮ Homomorphisms of commutativity relation ⋮ Maps completely preserving commutativity and maps completely preserving Jordan zero-product ⋮ Linear maps preserving commutativity ⋮ On functional identities in left ideals of prime rings ⋮ Commutativity preserving mappings on semiprime rings ⋮ Linear operators that strongly preserve commuting pairs of fuzzy matrices ⋮ On operators preserving commutativity ⋮ Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space ⋮ Linear operators that preserve pairs of matrices which satisfy extreme rank properties
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