Abstract
Let D ⊆ E be an extension of integral domains, Γ a numerical semigroup with Γ ⊆ ℕ 0, Γ* = Γ \ {0} and R = D+ E[Γ*]. In this paper, we completely characterize when R is a weakly Krull domain, an AWFD or a GWFD. We also prove that R is never a WFD.
| Original language | English |
|---|---|
| Pages (from-to) | 227-242 |
| Number of pages | 16 |
| Journal | Pacific Journal of Mathematics |
| Volume | 257 |
| Issue number | 1 |
| DOIs | |
| State | Published - May 2012 |
Keywords
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- D + E[Γ
- Numerical semigroup
- Weakly Krull domain