Maps on spaces of linear transformations over semisimple algebras

DOI10.1016/0021-8693(88)90265-7zbMath0658.16015OpenAlexW2004218540MaRDI QIDQ1111664

Warren J. Wong

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90265-7

zbMATH Keywords

determinant functionequivalence transformationlinear mapslinear transformations over semisimple algebraslocal lengthtranspose transformation

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Linear transformations, semilinear transformations (15A04) Division rings and semisimple Artin rings (16Kxx)

Related Items (3)

Chapter 2:rank and tensor rank ⋮ Chapter 8: invariant preserving linear matrix mappings over rings and related topics ⋮ Frobenius type theorems in the noncommutative case^∗

Cites Work

• Transformations on tensor product spaces
• Automorphisms of \(\det (X_{ij}):\) The group scheme approach
• Rank 1 preserving maps on linear transformations over noncommutative local rings
• Maps on simple algebras preserving zero products. I: The associative case
• Sur une généralisation du groupe orthogonal à quatre variables
• 𝑅-linear endomorphisms of (𝑅)_{𝑛} preserving invariants
• Introduction to Algebraic K-Theory. (AM-72)
• Unnamed Item

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