Inequalities for the degrees of elementary divisors of modules

DOI10.1016/0024-3795(72)90010-9zbMath0238.13013OpenAlexW2065977566MaRDI QIDQ2552904

David H. Carlson

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0024-3795(72)90010-9

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Miscellaneous inequalities involving matrices (15A45) Canonical forms, reductions, classification (15A21)

Related Items

A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices., The change of similarity invariants under row perturbations: Generic cases, On the Segre characteristic of a block triangular matrix, Unnamed Item, The change of similarity invariants under row perturbations, Explicit Jordan form for certain block triangular matrices. II, On the orbit of invariant subspaces of linear operators in finite-dimensional spaces (new proof of a Halmos's result), Explicit Jordan form for certain block triangular matrices, Interlacing inequalities for invariant factors, Matrix completion problems, Jordan form of extensions of linear operators (Carlson's problem) and minimal reducing subspaces containing a given subspace, Minimax and interlacing theorems for matrices, The peripheral spectrum of a nonnegative matrix, Feedback invariants of restrictions and quotients: Series connected systems

Cites Work

• Inertia theorems for matrices: the semidefinite case
• Finitely generated modules
• Unnamed Item
• Unnamed Item