English

Residual functions and divisorial ideals

Commutative Algebra 2024-09-19 v1 General Topology

Abstract

We define a \emph{residual function} on a topological space XX as a function f:XZf:X\longrightarrow\mathbb{Z} such that f1(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 Pr\"ufer domain.

Keywords

Cite

@article{arxiv.2409.11846,
  title  = {Residual functions and divisorial ideals},
  author = {Dario Spirito},
  journal= {arXiv preprint arXiv:2409.11846},
  year   = {2024}
}
R2 v1 2026-06-28T18:48:49.131Z