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Zilber’s skew-field lemma

Zilber's skew-field lemma
Authors: Deloro, Adrien;

Zilber’s skew-field lemma

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. The present exposition contains results extracted from more general research in progress with Frank O. Wagner.

Country
France
Keywords

dimensional theories, groups of finite Morley rank, Model-theoretic algebra, Mathematics - Logic, Representation theory of associative rings and algebras, definability, linearisation, Linearisation, Applications of logic in associative algebras, Schur's lemma, FOS: Mathematics, [MATH.MATH-LO] Mathematics [math]/Logic [math.LO], 20F11, [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], Representation Theory (math.RT), Logic (math.LO), Mathematics - Representation Theory, Zilber's field theorem

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Green