Frobenius type theorems in the noncommutative case∗

DOI10.1080/03081080108818676zbMath0984.15006OpenAlexW2038513787MaRDI QIDQ2747098

Alexander E. Guterman

Publication date: 7 May 2002

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

Full work available at URL: https://doi.org/10.1080/03081080108818676

zbMATH Keywords

determinantdivision ringslinear preserversDieudonné determinantsemilinear transformationsAdjamagbo determinantlocal Ore domainsnoncommutative local ring

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Noncommutative local and semilocal rings, perfect rings (16L30) Linear transformations, semilinear transformations (15A04)

Related Items (1)

Automorphisms of formal matrix algebras

Cites Work

• Unnamed Item
• Automorphisms of \(\det (X_{ij}):\) The group scheme approach
• Maps on spaces of linear transformations over semisimple algebras
• Rank 1 preserving maps on linear transformations over noncommutative local rings
• Sur une généralisation du groupe orthogonal à quatre variables
• Sur la caracterisation axiomatique minimale des determinants sur un domaine de Ore

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