Almost Prüfer v-Multiplication Domains and Related Domains of the Form D + D S[Γ*]

Gyu Whan Chang, Jung Wook Lim

Research output: Contribution to journalArticlepeer-review

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Abstract

Let D be an integral domain, S be a (saturated) multiplicative subset of D such that D {subset of with not equal to} D S, Γ be a numerical semigroup with Γ {subset of with not equal to} ℕ0, Γ* = Γ{set minus}{0}, X be an indeterminate over D, D + XD S[X] = {a + Xg ∈ D S[X]{divides}a ∈ D and g ∈ D S[X]}, and D + D S[Γ*] = {a + f ∈ D S[Γ]{divides}a ∈ D and f ∈ D S[Γ*]}; so D + D S[Γ*] {subset of with not equal to} D + XD S[X]. In this article, we study when D + D S[Γ*] is an APvMD, an AGCD-domain, an AS-domain, an AP-domain, or an AB-domain.

Original languageEnglish
Pages (from-to)2650-2664
Number of pages15
JournalCommunications in Algebra
Volume41
Issue number7
DOIs
StatePublished - 2013

Keywords

  • Almost Prüfer v-multiplication domain
  • D + D [Γ*]
  • Numerical semigroup

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