
arXiv: 2309.12462
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.
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
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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