On the pole assignability property over commutative rings

DOI10.1016/0022-4049(87)90103-4zbMath0653.13008OpenAlexW1964880097MaRDI QIDQ1107583

William Ullery, James Brewer, Daniel Katz

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90103-4

zbMATH Keywords

unimodular vectorGCU-propertyPA-propertypole-assignablereachable system

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Endomorphism rings; matrix rings (16S50) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Algebraic systems of matrices (15A30) Other special types of modules and ideals in commutative rings (13C13)

Related Items (13)

A characterization of GCU rings with the FC\(_2\) property ⋮ Pole assignability of rings of low dimension ⋮ Pole assignability and the invariant factor theorem in Prüfer domains and Dedekind domains ⋮ Dynamic feedback over commutative rings ⋮ The ring of integer-valued polynomials of a semi-local principal-ideal domain ⋮ On the pole-shifting problem for non-commutative rings ⋮ Coefficient assignability and a block decomposition for systems over rings ⋮ Feedback cyclization for rings with finite stable range ⋮ ON POLE ASSIGNABILITY AND FEEDEBACK CYCLISATION FOR SYSTEMS OVER RINGS OF FINITE DIMENSION ⋮ Strong feedback cyclization for systems over rings ⋮ Preserving pole assignable systems and reachable systems in commutative rings ⋮ A geometric approach to dynamic feedback cyclization over commutative rings ⋮ On the regulator problem for linear systems over rings and algebras

Cites Work

• Unnamed Item
• Pole assignment for systems over rings
• The pole assignability property in polynomial rings over GCD-domains
• Pole assignability in polynomial rings, power series rings, and Prüfer domains
• New results on pole-shifting for parametrized families of systems
• On \(\text{Pic}(R[X)\) for \(R\) seminormal]
• Remarks on the pole-shifting problem over rings

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