Contribution to the study of lattice-ordered rings and f-rings.

Joan Trías Pairó

Stochastica (1979)

  • Volume: 3, Issue: 2, page 45-69
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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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 -

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