Commutative algebra Domains and factorization Concept
Mori domain
Summary
A Mori domain is an integral domain that satisfies the ascending chain condition on divisorial ideals. Every Noetherian domain and every Krull domain is a Mori domain. A Mori domain is a Krull domain exactly when it is completely integrally closed. So Mori domains relate to Krull domains as Noetherian domains relate to Noetherian integrally closed domains.
Further reading
About this page
| Tag | 69HK75YAD1 |
|---|---|
| URI | m2://69HK75YAD1 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 13F05 |
| Specializes | Integral domain |
| Same as | |
| Changed | 2 November 2026 |
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