On bézout domains, elementary divisor rings, and pole assignability

DOI10.1080/00927878408823140zbMath0571.13004OpenAlexW2124350095MaRDI QIDQ3688486

James Brewer, C. Naudé, G. Naude

Publication date: 1984

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878408823140

zbMATH Keywords

Bezout domainelementary divisor domainspole assignability property

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items

Pole assignability in polynomial rings, power series rings, and Prüfer domains ⋮ \(\mathbb{C}[y\) is a CA-ring and coefficient assignment is properly weaker than feedback cyclization over a PID] ⋮ Distributive elementary divisor domains ⋮ On hermite rings and the pole assignability property ⋮ Pole assignability of rings of low dimension ⋮ Polynomial rings which are BCS rings ⋮ Bézout rings with finite Krull dimension ⋮ ON POLE ASSIGNABILITY AND FEEDEBACK CYCLISATION FOR SYSTEMS OVER RINGS OF FINITE DIMENSION ⋮ Diagonal matrix reduction over Hermite rings ⋮ Comments on pole assignability over rings ⋮ The pole assignability property in polynomial rings over GCD-domains ⋮ Some results on pole-placement and reachability

Cites Work

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• Remarks on the pole-shifting problem over rings
• On pole assignability over polynomial rings
• Convex Directed Subgroups of a Group of Divisibility
• Some Criteria for Hermite Rings and Elementary Divisor Rings