Symétrons et K-boucles \(\omega \)-stables \(\omega \)-stable symmetric spaces and K-loops

IF 0.4 4区数学 Q1 Arts and Humanities

Archive for Mathematical Logic Pub Date : 2025-03-12 DOI:10.1007/s00153-025-00967-4

Samuel Zamour

引用次数: 0

Abstract

We develop the model theory of \(\omega \)-stable K-loops and symmetric spaces. Continuing Poizat’s seminal work, we notably establish an appropriate version of the indecomposability theorem and we adapt Lascar’s analysis to this context.

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对称空间与k环\(\omega \) -稳定\(\omega \) -稳定对称空间与k环

我们发展了\(\omega \) -稳定k环和对称空间的模型理论。继续Poizat的开创性工作，我们特别建立了不可分解定理的适当版本，并将Lascar的分析适应于此背景。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archive for Mathematical Logic MATHEMATICS-LOGIC

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal publishes research papers and occasionally surveys or expositions on mathematical logic. Contributions are also welcomed from other related areas, such as theoretical computer science or philosophy, as long as the methods of mathematical logic play a significant role. The journal therefore addresses logicians and mathematicians, computer scientists, and philosophers who are interested in the applications of mathematical logic in their own field, as well as its interactions with other areas of research.