Matrices over rings of algebraic integers

DOI10.1016/0024-3795(91)90284-4zbMath0731.15011OpenAlexW1989150101MaRDI QIDQ807716

Morris Newman, Robert C. Thompson

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90284-4

zbMATH Keywords

eigenvaluescanonical formscompletionsalgebraic integersSmith formprincipal idealSchur formHermite formSmith invariants

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Principal ideal rings (13F10) Canonical forms, reductions, classification (15A21)

Related Items

Codeterminantal graphs ⋮ Invariant factors and generalized Schur matrices ⋮ Invertible bases and root vectors for analytic matrix-valued functions ⋮ Cubic bent functions outside the completed Maiorana-McFarland class ⋮ On the complexity group of stable curves ⋮ The Smith normal form ⋮ Smith normal form and Laplacians ⋮ Eigenvalues and the Smith normal form ⋮ Relating \(p\)-adic eigenvalues and the local Smith normal form

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Triangular and diagonal forms for matrices over commutative noetherian rings
• Almost diagonal matrices over Dedekind domains
• Matrix Completions Over Dedekind Rings
• Sometimes Only Square Matrices can be Diagonalized
• The Discriminant Matrices of An Algebraic Number Field
• Composition of binary quadratic forms over integral domains
• Elementary Divisors and Modules