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arXiv · 2511.15319

Smooth sequences and overring operators

Dario Spirito
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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.

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Dario Spirito. 2025-11-19. Smooth sequences and overring operators. https://arxiv.org/abs/2511.15319

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