On polynomial extensions of Mori domains over countable fields

DOI10.1016/0022-4049(90)90065-PzbMath0729.13016MaRDI QIDQ805680

Moshe Roitman

Publication date: 1990

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

zbMATH Keywords

ACC on annihilatorsMori domain

Mathematics Subject Classification ID

Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Extension theory of commutative rings (13B02)

Related Items (12)

Revisiting G-Dedekind domains ⋮ Unnamed Item ⋮ The \(t\)\#-property for integral domains ⋮ Numerical Semigroup Rings and Almost Prüferv-Multiplication Domains ⋮ Almost principal ideals in \(\mathrm R[x\)] ⋮ Power series rings over strong Mori domains. ⋮ A note on *_{𝑤}-Noetherian domains ⋮ Polynomial Rings Over Goldie-Kerr Commutative Rings ⋮ Polynomials rings over Goldie rings ⋮ \(\ast\)-Noetherian domains and the ring \(D[x_N\)] ⋮ Group rings and semigroup rings over strong Mori domains. ⋮ Mori domains of integer-valued polynomials

Cites Work

• On Mori domains and commutative rings with \(CC^{\perp}\). II
• On Mori domains and commutative rings with \(CC^{\perp}\). I
• Idéaux divisoriels d'un anneau de polynômes
• The polynomial ring over a Goldie ring need not be a Goldie ring
• Polynomial Rings Over Goldie Rings are Often Goldie

This page was built for publication: On polynomial extensions of Mori domains over countable fields