Título inglés |
Orthogonal decompositions of MV-spaces. |
Título español |
Descomposiciones ortogonales de espacios MV. |
Autor/es |
Belluce, L. Peter ; Sessa, Salvatore |
Organización |
Dep. Math. Univ. British Columbia, Vancouver, Canadá;Ist. Mat. Fac. Archit. Univ. Napoli, Nápoles, Italia |
Revista |
1134-5632 |
Publicación |
1997, 4 (1): 5-22, 19 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
A maximal disjoint subset S of an MV-algebra A is a basis iff {x in A : x ≤ a} is a linearly ordered subset of A for all a in S. Let Spec A be the set of the prime ideals of A with the usual spectral topology. A decomposition Spec A = Ui in I Ti U X is said to be orthogonal iff each Ti is compact open and S = {ai}i in I is a maximal disjoint subset. We prove that this decomposition is unrefinable (i.e. no Ti = Theta ∩ Y with Theta open, Theta ∩ Y = emptyset, int Y = emptyset) iff S is a basis. Many results are established for semisimple MV-algebras, which are the algebraic counterpart of Bold fuzzy set theory. |
Clasificación UNESCO |
120105 |
Palabras clave español |
Espacio topológico ; Algebras ; Algebras semisimples ; Descomposición ; Lógica multivaluada ; Ideal primo ; Sistema ortogonal |
Código MathReviews |
MR1463105 |
Código Z-Math |
Zbl 0880.06004 |
Acceso al artículo completo |