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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.
Trías Pairó, Joan. "Contribución al estudio de los anillos reticulados y f-anillos.." Stochastica 3.2 (1979): 45-69. <http://eudml.org/doc/38816>.
@article{TríasPairó1979, author = {Trías Pairó, Joan}, journal = {Stochastica}, keywords = {Anillos reticulados; Ideales; Algebras de Boole; Isometría; lattice-ordered rings; f-rings; lattice-isometries; hull-kernel topology; minimal prime ideals}, language = {spa}, number = {2}, pages = {45-69}, title = {Contribución al estudio de los anillos reticulados y f-anillos.}, url = {http://eudml.org/doc/38816}, volume = {3}, year = {1979}, }
TY - JOUR AU - Trías Pairó, Joan TI - Contribución al estudio de los anillos reticulados y f-anillos. JO - Stochastica PY - 1979 VL - 3 IS - 2 SP - 45 EP - 69 LA - spa KW - Anillos reticulados; Ideales; Algebras de Boole; Isometría; lattice-ordered rings; f-rings; lattice-isometries; hull-kernel topology; minimal prime ideals UR - http://eudml.org/doc/38816 ER -