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Preprint Number 405

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405. Roman Wencel
Imaginaries in Boolean algebras
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Submission date: 29 December 2011.

Abstract:

Given an infinite Boolean agebra B, we find a natural class of 0-definable equivalence relations E such that B together with all sorts determined by equivalence relations from E admits elimination of imaginaries. The paper generalizes author's earlier result on characterization of Boolean algebras admitting weak elimination of imaginaries.

Mathematics Subject Classification: 03C60, 03G05

Keywords and phrases: Boolean algebra, elimination of imaginaries

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