Abstract
All rings are assumed to be commutative with identity. A generalized GCD ring (G-GCD ring) is a ring (zero-divisors admitted) in which the intersection of every two finitely generated (f.g.) faithful multiplication ideals is a f.g. faithful multiplication ideal. Various properties of G-GCD rings are considered. We generalize some of Jäger's and Lüneburg's results to f.g. faithful multiplication ideals.
| Original language | English |
|---|---|
| Pages (from-to) | 219-233 |
| Number of pages | 15 |
| Journal | Beitrage zur Algebra und Geometrie |
| Volume | 42 |
| Issue number | 1 |
| Publication status | Published - 2001 |
| Externally published | Yes |
Keywords
- Greatest common divisor
- Least common multiple
- Multiplication ideal
- Prüfer domain
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology