Strong Mori and Noetherian properties of integer-valued polynomial rings.

DOI10.1016/S0022-4049(03)00131-2zbMath1038.13011MaRDI QIDQ1426340

Mi Hee Park, Francesca Tartarone

Publication date: 14 March 2004

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

zbMATH Keywords

integer-valued polynomialsstrong Mori domain

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (6)

Integer-Valued Polynomial Rings,t-Closure, and Associated Primes ⋮ Numerical Semigroup Rings and Almost Prüferv-Multiplication Domains ⋮ A Survey on Flatness in Integer-Valued Polynomial Rings ⋮ Module-Theoretic Characterizations oft-Linkative Domains ⋮ On the module structure of the integer-valued polynomial rings ⋮ A note on *_{𝑤}-Noetherian domains

Cites Work

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• Maximal Ideal Transforms of Noetherian Rings
• The Noetherian Property in Rings of Integer-Valued Polynomials
• On w-modules over strong mori domains
• Divisorial prime ideals of int(D) when D is a krull-type domain
• A Two-Dimensional Non-Noetherian Factorial Ring
• Group rings and semigroup rings over strong Mori domains.

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