Cadenes de Sales discretes

The Sales algebras are the substract of some positive implicational calculi . As a first aproximation to their representation we study the Sales algebras that are discrete and linear . In this paper we present a caracteritzation of the finite Sales algebras and we give also an infinite discrete Sale...

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Detalles Bibliográficos
Autor: Torrens Torrell, Antoni
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1980
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/132756
Acceso en línea:https://hdl.handle.net/2445/132756
Access Level:acceso abierto
Palabra clave:Lògica matemàtica
Mathematical logic
Descripción
Sumario:The Sales algebras are the substract of some positive implicational calculi . As a first aproximation to their representation we study the Sales algebras that are discrete and linear . In this paper we present a caracteritzation of the finite Sales algebras and we give also an infinite discrete Sales algebra such that we can identify with it every linear infinite simple Sales algebra with a penultimate element . The most interes ting result is the first Theorem In it we show that certain elements of the Sales algebras generate finit linear subalgebras of them .