IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Free algebras in varieties of Stonean residuated lattices
Autor/es:
CIGNOLI, ROBERTO LEONARDO OSCAR
Revista:
SOFT COMPUTING - (Online)
Editorial:
Springer
Referencias:
Año: 2008 p. 315 - 315
ISSN:
1473-7479
Resumen:
Abstract Given a variety V of bounded residuated lattices satisfying the Stone identity ¬x ∨¬¬x = , the free algebras in V over a set X of cardinality |X| are represented as weak Boolean products over the Cantor space 2|X| of a family of free algebras in an associated variety of (not necessarily bounded) residuated lattices with a bottom added.Given a variety V of bounded residuated lattices satisfying the Stone identity ¬x ∨¬¬x = , the free algebras in V over a set X of cardinality |X| are represented as weak Boolean products over the Cantor space 2|X| of a family of free algebras in an associated variety of (not necessarily bounded) residuated lattices with a bottom added.¬x ∨¬¬x = , the free algebras in V over a set X of cardinality |X| are represented as weak Boolean products over the Cantor space 2|X| of a family of free algebras in an associated variety of (not necessarily bounded) residuated lattices with a bottom added.V over a set X of cardinality |X| are represented as weak Boolean products over the Cantor space 2|X| of a family of free algebras in an associated variety of (not necessarily bounded) residuated lattices with a bottom added.|X| of a family of free algebras in an associated variety of (not necessarily bounded) residuated lattices with a bottom added.