Integer-Valued Polynomial Rings,t-Closure, and Associated Primes
From MaRDI portal
Publication:2902257
DOI10.1080/00927872.2010.519366zbMath1247.13022arXiv1105.0142OpenAlexW1985945260MaRDI QIDQ2902257
Publication date: 17 August 2012
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.0142
integral domainsinteger-valued polynomialsKrull domainsassociated primePrüfer domains, Mori domains, \(t\)-closure
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items
SOME RESULTS ON INTEGER-VALUED POLYNOMIALS OVER MODULES, Some results on \(t\)-locally strong Mori domains and their rings of integer-valued polynomials, Idempotent plethories, Integral domains issued from associated primes, Open Problems in Commutative Ring Theory, Localizations of integer‐valued polynomials and of their Picard group, Invertibility, Semistar Operations, and the Ring of Finite Fractions, A Survey on Flatness in Integer-Valued Polynomial Rings, PRESENTATIONS AND MODULE BASES OF INTEGER-VALUED POLYNOMIAL RINGS, On the module structure of the integer-valued polynomial rings, Almost Krull domains and their rings of integer-valued polynomials
Cites Work
- Well behaved prime t-ideals
- Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
- Integral domains in which each t-ideal is divisorial
- Flat ideals. II
- The conditions \(\text{Int}(R)\subseteq R_S[X\) and \(\text{Int}(R_S)=\text{Int}(R)_S\) for integer-valued polynomials]
- Strong Mori and Noetherian properties of integer-valued polynomial rings.
- Mori domains of integer-valued polynomials
- Integer-valued polynomials and Prüfer \(v\)-multiplication domains
- Universal properties of integer-valued polynomial rings
- Integer-Valued Polynomials
- t-Linked overrings and prüfer v-multiplication domains
- Functorial Properties of Star Operations
- PRIME IDEALS ATTACHED TO A MODULE
- Integer-valued polynomials over Krull-type domains and Prüfer $v$-multiplication domains
