Título inglés |
Contribution to the study of lattice-ordered rings and f-rings. |
Título español |
Contribución al estudio de los anillos reticulados y f-anillos. |
Autor/es |
Trías Pairó, Joan |
Organización |
Dep. Mat. Estad. E.T.S. Arquit. Univ. Politèc. Barcelona, Barcelona, España |
Revista |
0210-7821 |
Publicación |
1979, 3 (2): 45-69, 15 Ref. |
Tipo de documento |
articulo |
Idioma |
Español |
Resumen inglés |
This paper deals with ordered rings and f-rings. Some relations between classes of ideals are obtained. The idea of subunity allows us to study the possibility of embedding the ring in a unitary f-ring. The Boolean algebras of idempotents and lattice-isometries in an f-ring are studied. We give geometric characterizations of the l-isometries and obtain, in the projectable case, that the Stone space of the Boolean algebra of l-isometries is homeomorphic to the space of minimal prime ideals with the hull-kernel topology. We also apply some results to a certain f-ring of Hermitian operators of a Hilbert space. |
Clasificación UNESCO |
120105 |
Palabras clave español |
Anillos reticulados ; Ideales ; Algebras de Boole ; Isometría |
Código MathReviews |
MR0556647 |
Código Z-Math |
Zbl 0434.06019 |
Acceso al artículo completo |