Chapter 8: invariant preserving linear matrix mappings over rings and related topics

DOI10.1080/03081089208818184zbMath0766.15015OpenAlexW2039503382MaRDI QIDQ4033845

B. R. McDonald

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1080/03081089208818184

zbMATH Keywords

rankdeterminantmatrix ringsinvariant preserving linear matrix mappings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear transformations preserving symmetric rank one matrices
• Twisted forms of the determinant
• 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
• On \(\text{Pic}(R[X)\) for \(R\) seminormal]
• Automorphisms of matrix algebras over commutative rings
• Linear maps that preserve commuting pairs of matrices
• Maps on simple algebras preserving zero products. I: The associative case
• Geometry of symmetric matrices over any field with characteristic other than two
• Composition and genera of norm-type forms
• Invertibility of linear maps preserving matrix invariants
• Similarity of matrices under SL(n,K)
• On linear transformations preserving rank one matrices over commutative rings
• Coherence Invariant Mappings on Kronecker Products

This page was built for publication: Chapter 8: invariant preserving linear matrix mappings over rings and related topics