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arXiv · 2309.10611

Sym\'etrons et K-boucles omega-stables

Samuel Zamour
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Abstract

We develop the model theory of omega-stable K-loops and 'sym\'etrons'. Continuing Poizat's seminal work, we notably establish an appropriate version of the indecomposability theorem and we adapt Lascar's analysis to this context. -- Nous d\'eveloppons la th\'eorie des mod\`eles des K-boucles et des sym\'etrons omega-stables. En poursuivant le travail s\'eminal de Poizat, nous \'etablissons notamment une version appropri\'ee du th\'eor\`eme des ind\'ecomposables et nous adaptons l'analyse de Lascar \`a ce contexte.

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Samuel Zamour. 2023-09-19. Sym\'etrons et K-boucles omega-stables. https://arxiv.org/abs/2309.10611

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