Linear transformations preserving algebraic elements on \(\mathscr{M}_2(\mathbb{F})\) of degree 2

DOI10.1007/s13370-023-01046-8zbMath1524.15056OpenAlexW4318192418MaRDI QIDQ6155519

Youssef El Khatiri, Zine El Abidine Abdelali

Publication date: 5 June 2023

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01046-8

zbMATH Keywords

nilpotent elementslinear preserver problemsalgebraic elements of degree 2

Mathematics Subject Classification ID

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

Cites Work

• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Linear transformations that preserve the nilpotent matrices
• Linear transformations preserving algebraic elements of degree 2