Molecules and linerly ordered ideals of MV-algebras.

Título inglés Molecules and linerly ordered ideals of MV-algebras.
Título español Moléculas e ideales ordenados linealmente de álgebras MV.
Autor/es Hoo, C. S.
Organización Dep. Math. Sci. Univ. Alberta, Edmonton (Alberta), Canadá
Revista 0214-1493
Publicación 1997, 41 (2): 455-465, 20 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés We show that an ideal I of an MV-algebra A is linearly ordered if and only if every non-zero element of I is a molecule. The set of molecules of A is contained in Inf(A) È B2(A) where B2(A) is the set of all elements x Î A such that 2x is idempotent. It is shown that I ≠ {0} is weakly essential if and only if B^ Ì B(A). Connections are shown among the classes of ideals that have various combinations of the properties of being implicative, essential, weakly essential, maximal or prime.
Clasificación UNESCO 120108
Palabras clave español Algebras de Wajsberg ; Lógica multivaluada ; Algebras de Boole ; Ideales ; Grupo ordenado
Código MathReviews MR1485495
Icono pdf Acceso al artículo completo