阿贝尔群纯短精确序列展开中分叉和分割的转移原理

arXiv - MATH - Logic Pub Date : 2024-09-16 DOI:arxiv-2409.10148

Akash Hossain

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引用次数: 0

摘要

阿申布伦纳、切尔尼科夫、盖雷特和齐格勒在他们关于有价域的远度的文章中，证明了阿贝尔结构纯短精确序列中量化消除的辉煌的阿克斯-科钦-厄尔肖夫原理。韦斯特研究了他们的工作与分叉的关系，我们证明了在这种情况下分叉和分割的阿克斯-科钦-厄尔肖夫原理。

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Transfer principles for forking and dividing in expansions of pure short exact sequences of Abelian groups

In their article about distality in valued fields, Aschenbrenner, Chernikov, Gehret and Ziegler proved resplendent Ax-Kochen-Ershov principles for quantifier elimination in pure short exact sequences of Abelian structures. We study how their work relates to forking, and we prove Ax-Kochen-Ershov principles for forking and dividing in this setting.

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arXiv - MATH - Logic

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