Complete theories of boolean algebras

[en] Boolean algebras are well-known mathematical structures. It is known that the theory of the class of these structures is incomplete, so the aim of this work is to present sistematically the different ways to complete it. In order to do this, we must also study the different kinds of Boolean algebras and their properties. Besides completeness, we also study other questions like ω-categoricity and quantifier elimination. The whole subject is studied in the formal language of first order logic.

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Enrique Casanovas Ruiz-Fornells

Country

Spain

Related Organizations

University of Barcelona
Spain

Keywords

Teoria de models, Bachelor's thesis, Lògica de primer ordre, Bachelor's theses, Lattice theory, Teoria dels reticles, Model theory, Treballs de fi de grau, First-order logic, Àlgebra de Boole, Boolean algebras

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