Numerical Semigroup Rings and Almost Prüferv-Multiplication Domains

DOI10.1080/00927872.2011.643519zbMath1254.13004OpenAlexW2031445518MaRDI QIDQ2904694

Gyu Whan Chang, Hwankoo Kim, Jung Wook Lim

Publication date: 23 August 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.643519

zbMATH Keywords

numerical semigroupalmost Prüfer domainalmost Prüfer v-multiplication domain

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (9)

∗-Almost super-homogeneous ideals in ∗-h-local domains ⋮ Semigroup rings as almost Prüfer \(v\)-multiplication domains ⋮ Integral domains of finite \(t\)-character ⋮ On locally AGCD domains ⋮ Bazzoni’s conjecture and almost Prüfer domains ⋮ WHEN ARE GRADED INTEGRAL DOMAINS ALMOST GCD-DOMAINS ⋮ Nearly Krull domains and nearly Prüfer \(v\)-multiplication domains ⋮ Almost Prüferv-Multiplication Domains and Related Domains of the FormD + D_S[Γ*] ⋮ S-Noetherian Properties of Composite Ring Extensions

Cites Work

• Unnamed Item
• On polynomial extensions of Mori domains over countable fields
• Prüfer \(v\)-multiplication domains and related domains of the form \(D+D_S[\varGamma ^{*}\)]
• A general theory of almost factoriality
• The \(D+XD_ s[X\) construction from GCD-domains]
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• The class group of \(D+M\)
• Idéaux divisoriels d'un anneau de polynômes
• On Pruefer v-multiplication domains
• Almost Bézout domains
• The construction \(D+XD_s[X\)]
• On strong Mori domains
• Power series rings over strong Mori domains.
• Strong Mori and Noetherian properties of integer-valued polynomial rings.
• Strong Mori domains and the ring \(D[{\mathbf X}_{N_v}\)]
• On the class group and the local class group of a pullback
• The Class Group ofD[Γ forDan Integral Domain and Γ a Numerical Semigroup]
• On t-invertibility II
• On divisorial ideals in polynomial rings over mori domains
• Umt-domains and domains with prüfer integral closure
• Almost Splitting Sets and AGCD Domains
• On the picard group of a class of non-seminormal domains
• A PINCHED-KRULL DOMAIN AT A PRIME IDEAL

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