INVESTIGADORES
DUBUC Eduardo Julio
congresos y reuniones científicas
Título:
A representation theory of MV-algebras by Algebraic Geometry
Autor/es:
EDUARDO J. DUBUC AND YURI POVEDA
Lugar:
Buenos Aires
Reunión:
Congreso; Conference Residuated Lattices: Algebra and Logic.; 2008
Institución organizadora:
Instituto Argentino de Matematica
Resumen:
We utilize techniques first developed in Grotendieck´s aproach to algebraic
geometry to prove a general representation theorem for mv-algebras as the
algebra of global sections of a sheaf of mv-chains. This result generalize the
representation of locally finite mv-algebras of Cignoly-Dubuc-Mundici. Our
representation in the case of free mv-algebras yields the McNaughton theorem,
and furnish a conceptual frame for the theorem.