INVESTIGADORES
CAMPERCHOLI Miguel Alejandro Carlos
artículos
Título:
Algebraically Expandable Classes
Autor/es:
CAMPERCHOLI, MIGUEL; VAGGIONE, DIEGO
Revista:
ALGEBRA UNIVERSALIS
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Año: 2009 vol. 61 p. 151 - 186
ISSN:
0002-5240
Resumen:
An algebraically expandable class is a class of similar algebras axiomatizable by sentences of the form (A)(E)! & p=q. The problem investigated in this work is that of finding all algebraically expandable classes within a given variety. A complete solution is presented for a number of varieties, including the classes of Boolean algebras, Stone algebras, Semilattices, Distributive lattices and Generalized Kleene algebras. We also study the problem for the case of discriminator varieties, where we prove that there is a lattice ismorphism between the lattice of all algebraically expandable classes of the variety and a certain lattice of subclasses of the simple members of the variety. Finally this connection is applied to calculating the algebraically expandable subclasses of the varieties of monadic algebras and P-algebras.
