A counterexample regarding the relatively uniform completion of a principal ideal
Commutative Algebra
2025-06-12 v1 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2506.09798,
title = {A counterexample regarding the relatively uniform completion of a principal ideal},
author = {Youssef Azouzi},
journal= {arXiv preprint arXiv:2506.09798},
year = {2025}
}