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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/122266
El teorema de Birkhoff
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[en] Birkhoff’s Theorem states that let K be a class of algebras, then K is an equational class if, only if, K is a variety. To reach this result, is necessary to understand some basic concepts of universal algebra. Varieties, free algebras and identities will be essential to understand the proof of Birkhoff’s Theorem. We study that statement and how to achieve the proof of it. We also study some of the immediate consequeces of Birkhoff’s Theorem in equational logic. Moreover, there is a final section as appendix where we study some properties of lattices.
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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Joan Gispert Brasó
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ORTEGA AGUASCA, Marc Alexis. El teorema de Birkhoff. [consulted: 16 of June of 2026]. Available at: https://hdl.handle.net/2445/122266