GENERALISED IMAGINARIES AND GALOIS COHOMOLOGY
Copyright policy )GENERALISED IMAGINARIES AND GALOIS COHOMOLOGY
AbstractThe objective of this article is to characterise elimination of finite generalised imaginaries as defined in [9] in terms of group cohomology. As an application, I consider series of Zariski geometries constructed [10, 23, 24] by Hrushovski and Zilber and indicate how their nondefinability in algebraically closed fields is connected to eliminability of certain generalised imaginaries.
Noncommutative algebraic geometry, Morita equivalence, Model-theoretic algebra, groupoid, Models of other mathematical theories, Nonabelian homological algebra (category-theoretic aspects), torsor, Zariski geometry, generalized imaginaries, interpretability, Quantum groups and related algebraic methods applied to problems in quantum theory, Groupoids, semigroupoids, semigroups, groups (viewed as categories), Model theory of fields
Noncommutative algebraic geometry, Morita equivalence, Model-theoretic algebra, groupoid, Models of other mathematical theories, Nonabelian homological algebra (category-theoretic aspects), torsor, Zariski geometry, generalized imaginaries, interpretability, Quantum groups and related algebraic methods applied to problems in quantum theory, Groupoids, semigroupoids, semigroups, groups (viewed as categories), Model theory of fields
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