RATLIFF-RUSH FILTRATION INDUCED BY A GOOD FILTRATION
Abstract
In this note, we introduce and study the notion of Ratliff-Rush filtration associated with an good filtration which generalize the notion of Ratliff-Rush closure of an ideal introduce by L.J. Ratliff and D.Rush. We establish a semi prime operation in the class of good filtrations which is a refinement of the pruferian closure of filtration, we generalize a theorem of Samuel on power of ideals.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Rings
Modules
and Algebras
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Advances in Mathematics Scientific Journal
- Volume
- 15
- Issue
- 1
- Pages
- 89–97
- Publication date
- 17 January 2026