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Symétrons et K-boucles ω-stables ω-stable symmetric spaces and K-loops.

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Bibliographic Details
Title: Symétrons et K-boucles ω-stables ω-stable symmetric spaces and K-loops.
Authors: Zamour, Samuel1 (AUTHOR) samuel.zamour@u-pec.fr
Source: Archive for Mathematical Logic. Jul2025, Vol. 64 Issue 5, p857-876. 20p.
Subject Terms: *SYMMETRIC spaces, *MODEL theory
Abstract (English): We develop the model theory of ω -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. [ABSTRACT FROM AUTHOR]
Abstract (French): Résumé: Nous développons la théorie des modèles des K-boucles et des symétrons ω -stables. En poursuivant le travail séminal de Poizat, nous établissons notamment une version appropriée du théorème des indécomposables et nous adaptons l'analyse de Lascar à ce contexte. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
Abstract:We develop the model theory of ω -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. [ABSTRACT FROM AUTHOR]
ISSN:09335846
DOI:10.1007/s00153-025-00967-4