Abstract
We lay the foundations for a model theoretic study of proalgebraic groups. Our axiomatization is based on the tannakian philosophy. Through a tensor analog of skeletal categories we are able to consider neutral tannakian categories with a fibre functor as many-sorted first order structures. The class of diagonalizable proalgebraic groups is analyzed in detail. We show that the theory of a diagonalizable proalgebraic group G is determined by the theory of the base field and the theory of the character group of G Some initial steps towards a comprehensive study of types are also made
Originalsprache | englisch |
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Seiten (von - bis) | 2225-2267 |
Seitenumfang | 43 |
Fachzeitschrift | Transactions of the American Mathematical Society |
Jahrgang | 374 |
Ausgabenummer | 3 |
Frühes Online-Datum | 2020 |
DOIs | |
Publikationsstatus | Veröffentlicht - März 2021 |
ASJC Scopus subject areas
- Angewandte Mathematik
- Allgemeine Mathematik