Free algebras in varieties of BL-algebras generated by BLn-chains

Busaniche, Manuela; Cignoli, Roberto Leonardo Oscar

info:eu-repo/semantics/article

Fecha

2006-06

Registro en:

Busaniche, Manuela; Cignoli, Roberto Leonardo Oscar; Free algebras in varieties of BL-algebras generated by BLn-chains; Cambridge University Press; Journal Of The Australian Mathematical Society; 80; 3; 6-2006; 419-439

1446-7887

http://hdl.handle.net/11336/88437

1446-8107

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4382403

Autor

Busaniche, Manuela

Cignoli, Roberto Leonardo Oscar

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

Free algebras with an arbitrary number of free generators in varieties of BL-algebras generated by one BL-chain that is an ordinal sum of a finite MV-chain Ln and a generalized BL-chain B are described in terms of weak Boolean products of BL-algebras that are ordinal sums of subalgebras of L and free algebras in the variety of basic hoops generated by B. The Boolean products are taken over the Stone spaces of the Boolean subalgebras of idempotents of free algebras in the variety of MV-algebras generated by L N.