MV-algebras are a generalization of Boolean algebras. As is well known, a free generating set {bi | i ∈ X} for a Boolean algebra is characterized by the following simple algebraic condition: whenever A and B are finite disjoint subsets of X then Vbi2A bi ∧ Vbj2B ¬bj 6= 0. Our aim in this note is to give a similar characterization of free generating sets in MV-algebras.
A characterization of free generating sets in MV-algebras / F. LACAVA. - In: ALGEBRA UNIVERSALIS. - ISSN 0002-5240. - STAMPA. - 57:(2007), pp. 455-462. [10.1007/s00012-007-2059-4]
A characterization of free generating sets in MV-algebras
LACAVA, FRANCESCO
2007
Abstract
MV-algebras are a generalization of Boolean algebras. As is well known, a free generating set {bi | i ∈ X} for a Boolean algebra is characterized by the following simple algebraic condition: whenever A and B are finite disjoint subsets of X then Vbi2A bi ∧ Vbj2B ¬bj 6= 0. Our aim in this note is to give a similar characterization of free generating sets in MV-algebras.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
lacava_f.pdf
Accesso chiuso
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
209.82 kB
Formato
Adobe PDF
|
209.82 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
