Idempotence preserving maps between matrix spaces

DOI10.1080/03081087.2011.599066zbMath1248.15025OpenAlexW1974105933MaRDI QIDQ2879661

Baodong Zheng, Yang Zhang, Jun Cao

Publication date: 29 March 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.599066

zbMATH Keywords

idempotentmatrix algebranonlinear preserver

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Cites Work

• Maps on spaces of symmetric matrices preserving idempotence
• Linear preservers on powers of matrices
• Linear maps preserving idempotence on matrix modules over principal ideal domains
• On determinant preserver problems
• Maps on matrix algebras preserving idempotents
• Idempotence-preserving maps without the linearity and surjectivity assumptions
• Determinant preserving maps on matrix algebras
• Linear transformations between matrix spaces that map one rank specific set into another
• Hua's fundamental theorems of the geometry of matrices and related results
• Additive mappings preserving operators of rank one
• Linear Preserver Problems
• A note on idempotence-preserving maps

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