Rank 1 preserving maps on linear transformations over noncommutative local rings

DOI10.1016/0021-8693(88)90160-3zbMath0661.15012OpenAlexW2039418106MaRDI QIDQ1112916

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)90160-3

zbMATH Keywords

matrix algebralocal ringcommutative ringK-linear mapsK-module

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (5)

Maps on spaces of linear transformations over semisimple algebras ⋮ Chapter 2:rank and tensor rank ⋮ Chapter 8: invariant preserving linear matrix mappings over rings and related topics ⋮ Extending Hua's theorem on the geometry of matrices to Bézout domains ⋮ Frobenius type theorems in the noncommutative case^∗

Cites Work

• Projective modules
• Automorphisms of \(\det (X_{ij}):\) The group scheme approach
• Localization in non-commutative Noetherian rings
• Separable algebras over commutative rings
• 𝑅-linear endomorphisms of (𝑅)_{𝑛} preserving invariants
• Introduction to Algebraic K-Theory. (AM-72)
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