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 |
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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