The similarity reduction of matrices over a skew field

DOI10.1007/BF01213920zbMath0248.15010WikidataQ105693651 ScholiaQ105693651MaRDI QIDQ2556454

Paul M. Cohn

Publication date: 1973

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171916

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical forms, reductions, classification (15A21)

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Cyclic matrices and polynomial interpolation over division rings ⋮ A New Simultaneous Decomposition of a Matrix Quaternity Over an Arbitrary Division Ring with Applications ⋮ On the diameter of the commuting graph of the matrix ring over a centrally finite division ring ⋮ Quaternionic determinants ⋮ When Is Every Non Central-Unit A Sum of Two Nilpotents? ⋮ Decompositions of endomorphisms into a sum of roots of the unity and nilpotent endomorphisms of fixed nilpotence ⋮ Semisimilarity for matrices over a division ring ⋮ Similarity reduction of matrix over a quaternion division ring ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Corrections to 'Applications of the Dieudonne determinant' ⋮ The minimal polynomial of a matrix^∗ ⋮ Triangularizing semigroups of matrices over a skew field ⋮ Quaternions and matrices of quaternions ⋮ Classification of pairs consisting of a linear and a semilinear map ⋮ On a generalization of Albert's theorem ⋮ Burnside's theorem for matrix rings over division rings ⋮ Puiseux's théorem revisited

Cites Work

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• The Embedding of Firs in Skew Fields