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Zilber's skew-field lemma

Adrien Deloro
Vol. 3 (2024), No. 2, 571–586
DOI: 10.2140/mt.2024.3.571
Abstract

We revisit one of Zilber’s early results in model-theoretic algebra, viz., definability in Schur’s lemma. This takes place in a broader context than the original version from the seventies.

Keywords
Schur's lemma, Zilber's field theorem, definability, linearisation
Mathematical Subject Classification
Primary: 03C60, 16B70
Secondary: 16G99
Milestones
Received: 14 December 2022
Revised: 15 October 2023
Accepted: 15 December 2023
Published: 19 July 2024
Authors
Adrien Deloro
Institut de Mathématiques de Jussieu
Sorbonne Université
Paris
France
© 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers).