INVESTIGADORES
CASTAÑO Diego Nicolas
artículos
Título:
ALGEBRAIC EXPANSIONS of LOGICS
Autor/es:
CAMPERCHOLI, MIGUEL; CASTAÑO, DIEGO NICOLÁS; DÍAZ VARELA, JOSÉ PATRICIO; GISPERT, JOAN
Revista:
JOURNAL OF SYMBOLIC LOGIC, THE
Editorial:
ASSOC SYMBOLIC LOGIC, INC
Referencias:
Año: 2023 vol. 88 p. 74 - 92
ISSN:
0022-4812
Resumen:
An algebraically expandable (AE) class is a class of algebraic structures axiomatizable by sentences of the form. For a logic L algebraized by a quasivariety we show that the AE-subclasses of correspond to certain natural expansions of L, which we call algebraic expansions. These turn out to be a special case of the expansions by implicit connectives studied by X. Caicedo. We proceed to characterize all the AE-subclasses of abelian -groups and perfect MV-algebras, thus fully describing the algebraic expansions of their associated logics.
