Polynomial rings that are Bcs-rings

DOI10.1080/00927878908823750zbMath0668.13010OpenAlexW1981531576MaRDI QIDQ3820713

C. Naudé

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823750

zbMATH Keywords

Bezout domainbcs-ringbasic submodule of a projective module

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Structure, classification theorems for modules and ideals in commutative rings (13C05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

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• Comments on pole assignability over rings
• Pole assignability in polynomial rings, power series rings, and Prüfer domains
• Remarks on the pole-shifting problem over rings
• Projective modules over R[\(X_ 1,\)\dots ,X//n, R a Prüfer domain]
• Polynomial rings over arbitrary fields in two or more variables are not pole assignable
• Rings with Noetherian spectrum

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