Graded Prüfer domains

DOI10.1080/00927872.2017.1327595zbMath1397.13001OpenAlexW2619382498MaRDI QIDQ4643666

Gyu Whan Chang, Muhammad Zafrullah, David F. Anderson

Publication date: 28 May 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1327595

zbMATH Keywords

Nagata ringmonoid domaingraded Prüfer domainhomogeneous overringtorsionless grading monoid

Mathematics Subject Classification ID

Graded rings (13A02) Polynomials over commutative rings (13B25) Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (5)

Unnamed Item ⋮ GRADED INTEGRAL DOMAINS IN WHICH EACH NONZERO HOMOGENEOUS IDEAL IS DIVISORIAL ⋮ Graded Prüfer domains with Clifford homogeneous class semigroups ⋮ Uniformly graded-coherent rings ⋮ On graded pseudo-valuation domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(D + E[\varGamma^*\) construction from Prüfer domains and GCD-domains]
• \(t\)-invertibility and Bazzoni-like statements
• Bazzoni's conjecture
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• The graded ring \(R[X_1,\dots,X_n\)
• Divisorial ideals and invertible ideals in a graded integral domain
• Prüfer domains and graded rings
• The construction \(D+XD_s[X\)]
• On the class group of a graded domain
• Discrete valuation overrings of a graded Noetherian domain
• Semigroup rings as Prüfer rings
• Graded integral domains and Nagata rings
• Homogeneous splitting sets of a graded integral domain
• Integral Domains in which Every Nonzerot-Locally Principal Ideal ist-Invertible
• Integral Domains in Which Nonzero Locally Principal Ideals are Invertible
• Clifford semigroups of ideals in monoids and domains
• Divisibility Properties of Graded Domains
• Graded integral domains and Nagata rings, II
• CHARACTERIZATIONS OF GRADED PRÜFER ⋆-MULTIPLICATION DOMAINS
• Graded integral domains whose nonzero homogeneous ideals are invertible
• Overrings of Commutative Rings. II. Integrally Closed Overrings
• Generalized Quotient Rings
• Some Results on v-Multiplication Rings
• On the Ideal Theory of the Kronecker Function Ring and the Domain D(X)

This page was built for publication: Graded Prüfer domains