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.
@article{urn:eudml:doc:38816,
title = {Contribuci\'on al estudio de los anillos reticulados y f-anillos.},
journal = {Stochastica},
volume = {3},
year = {1979},
pages = {45-69},
zbl = {0434.06019},
mrnumber = {MR0556647},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38816}
}
Trías Pairó, Joan. Contribución al estudio de los anillos reticulados y f-anillos.. Stochastica, Tome 3 (1979) pp. 45-69. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38816/