A counterexample regarding the relatively uniform completion of a principal ideal
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913889343504384 |
|---|---|
| author | Azouzi, Youssef |
| author_facet | Azouzi, Youssef |
| contents | We present a counterexample related to relative uniform convergence, showing that, in general, the relatve uniform completion of the principal ideal of a vector lattice E generated by an element x is stricly contained in the ideal generated by x in the relatively uniform completion of E. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09798 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A counterexample regarding the relatively uniform completion of a principal ideal Azouzi, Youssef Commutative Algebra Functional Analysis 06F20, 46A40 We present a counterexample related to relative uniform convergence, showing that, in general, the relatve uniform completion of the principal ideal of a vector lattice E generated by an element x is stricly contained in the ideal generated by x in the relatively uniform completion of E. |
| title | A counterexample regarding the relatively uniform completion of a principal ideal |
| topic | Commutative Algebra Functional Analysis 06F20, 46A40 |
| url | https://arxiv.org/abs/2506.09798 |