Smooth sequences and overring operators
Commutative Algebra
2025-11-20 v1
Abstract
We introduce smooth sequences of integral domains as well-ordered ascending chains that behave well at limit ordinals. Subsequently, we use this notion to give some conditions on the freeness of kernels of extension maps between groups of invertible ideals of Pr\"ufer domains. We also define overring operators to construct smooth sequences in a recursive way.
Cite
@article{arxiv.2511.15319,
title = {Smooth sequences and overring operators},
author = {Dario Spirito},
journal= {arXiv preprint arXiv:2511.15319},
year = {2025}
}