Topological characterization of certain classes of lattices

H. Al-Ezeh

Rendiconti del Seminario Matematico della Università di Padova (1990)

  • Volume: 83, page 13-18
  • ISSN: 0041-8994

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Al-Ezeh, H.. "Topological characterization of certain classes of lattices." Rendiconti del Seminario Matematico della Università di Padova 83 (1990): 13-18. <http://eudml.org/doc/108171>.

@article{Al1990,
author = {Al-Ezeh, H.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {distributive lattice; prime ideals; spectral topology; D-topology},
language = {eng},
pages = {13-18},
publisher = {Seminario Matematico of the University of Padua},
title = {Topological characterization of certain classes of lattices},
url = {http://eudml.org/doc/108171},
volume = {83},
year = {1990},
}

TY - JOUR
AU - Al-Ezeh, H.
TI - Topological characterization of certain classes of lattices
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1990
PB - Seminario Matematico of the University of Padua
VL - 83
SP - 13
EP - 18
LA - eng
KW - distributive lattice; prime ideals; spectral topology; D-topology
UR - http://eudml.org/doc/108171
ER -

References

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  1. [1] A. Brezuleanu - R. DIACONESCU, Sur la duale de la catégorie des treillis, Rev. Roumaine Math. Pures Appl., 14 (1969), pp. 311-323. Zbl0183.30102MR255454
  2. [2] W. Cornish, Normal lattices, J. Austral. Math. Soc., 14 (1972), pp. 200-215. Zbl0247.06009MR313148
  3. [3] W. Cornish, 0-ideals, con+ruences and sheaf representation of lattices, -Rev. Roumaine Math. Pures Appl., 23 (1978), pp. 17-22. MR460202
  4. [4] G. De Marco, Projectivity of pure ideals, Rend. Sem. Math. Univ. Padova, 68 (1983), pp. 289-304. Zbl0543.13004MR717003
  5. [5] G. Georgescu - I. VOICULESCU, Isomorphic sheaf representations of normal lattices, J. Pure Appl. Algebra, 48 (1987), pp. 213-223. Zbl0646.06009MR890022
  6. [6] P. Johnstone, Stone Spaces, Cambridge University Press, Cambridge, 1982. Zbl0499.54001MR698074
  7. [7] D. Lazard, Disconnexites des spectres d'anneaux et des preschémas, Bull. Soc. Math. France, 95 (1967), pp. 95-108. Zbl0158.03902MR223374
  8. [8] H. Simmons, Reticulated rings, J. Algebra, 66 (1980), pp. 169-192. Zbl0462.13002MR591251
  9. [9] T. Speed, Some remarks on a class of distributive lattices, J. Austral. Math. Soc., 9 (1969), 289-296. Zbl0175.01303MR246800

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