Semisimilarity for matrices over a division ring

DOI10.1016/0024-3795(81)90296-2zbMath0467.15007OpenAlexW1995224106MaRDI QIDQ1155693

Robert E. Hartwig, Putcha, Mohan S.

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90296-2

zbMATH Keywords

division ringsimilarity relationsemisimilarity

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic systems of matrices (15A30) Nonassociative division algebras (17A35)

Related Items (6)

Similarity and semi-similarity relations on the degenerate quaternions, pseudodegenerate quaternions and doubly degenerate quaternions ⋮ Pseudo-consimilarity and semi-consimilarity of complex matrices ⋮ A New Simultaneous Decomposition of a Matrix Quaternity Over an Arbitrary Division Ring with Applications ⋮ Pseudo-similarity and partial unit regularity ⋮ Pseudosimilarity and cancellation of modules ⋮ An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications

Cites Work

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• A note on the group structure of unit regular ring elements
• The similarity reduction of matrices over a skew field
• Pseudo-Inverses in Associative Rings and Semigroups
• Pseudo-Similarity for Matrices Over a Field
• Composition of binary quadratic forms

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