Existentially closed De Morgan algebras

Vahagn Aslanyan

doi:10.1007/s00012-019-0633-1

Existentially closed De Morgan algebras

Vahagn Aslanyan

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Abstract

We show that the theory of De Morgan algebras has a model completion and axiomatise it. Then we prove that it is ℵ₀-categorical and describe definable and algebraic closures in that theory. We also obtain similar results for Boole–De Morgan algebras.

Original language	English
Article number	4
Journal	Algebra Universalis
Volume	81
Issue number	1
Early online date	20 Dec 2019
DOIs	https://doi.org/10.1007/s00012-019-0633-1
Publication status	Published - 2020

Keywords

Boolean and De Morgan algebras
Existential closedness
Model completion

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10.1007/s00012-019-0633-1

De MorganAccepted author manuscript, 395 KB

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KW - Existential closedness

KW - Model completion

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Existentially closed De Morgan algebras

Abstract

Keywords

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