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
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