# On the intersection of principal ideals in function spaces

## TL;DR

This paper introduces a method for constructing principal ideals in function spaces where the intersection of these ideals is not finitely generated, exploring similar issues in holomorphic function spaces.

## Contribution

It presents a novel construction method for principal ideals with non-finitely generated intersections in real and holomorphic function spaces.

## Key findings

- Constructed principal ideals with non-finitely generated intersections.
- Extended the discussion to spaces of holomorphic functions.
- Provided insights into the structure of ideals in function spaces.

## Abstract

We give a method for constructing principal ideals in spaces of real functions whose intersection is not a finitely generated ideal. This problem is also discussed for spaces of holomorphic functions.

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Source: https://tomesphere.com/paper/1903.11378