Abstract
Let D be an integral domain and let * be a star-operation on D. In this article, we give new characterizations of *w-Noetherian domains and *w-principal ideal domains. More precisely, we show that D is a *w-Noetherian domain (resp., *w-principal ideal domain) if and only if every *w-countable type ideal of D is of *w-finite type (resp., principal).
| Original language | English |
|---|---|
| Pages (from-to) | 571-575 |
| Number of pages | 5 |
| Journal | Kyungpook Mathematical Journal |
| Volume | 63 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2023 |
Keywords
- ,-countable type ideal
- ,-Noetherian domain
- ,-principal ideal domain