Residual functions and divisorial ideals
Abstract
Abstract We define a residual function on a topological space X as a function $$f:X\longrightarrow \mathbb {Z}$$ f : X ⟶ Z such that $$f^{-1}(0)$$ f - 1 ( 0 ) contains an open dense set, and we use this notion to study the freeness of the group of divisorial ideals on a Prüfer domain.
Fields of Study & Subjects
Rings
Modules
and Algebras
Commutative Algebra and Its Applications
Publication details
- Journal / source
- European Journal of Mathematics
- Volume
- 12
- Issue
- 3
- Publication date
- 9 July 2026
- Language
- EN