Uniform filters

Manuel Garcia Román; Mercedes Márquez Hernández; Pascual Jara; Alain Verschoren

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1999)

  • Volume: 40, Issue: 2, page 82-126
  • ISSN: 1245-530X

How to cite

top

Garcia Román, Manuel, et al. "Uniform filters." Cahiers de Topologie et Géométrie Différentielle Catégoriques 40.2 (1999): 82-126. <http://eudml.org/doc/91617>.

@article{GarciaRomán1999,
author = {Garcia Román, Manuel, Márquez Hernández, Mercedes, Jara, Pascual, Verschoren, Alain},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {uniform filters; localizations; Gabriel filters; idempotent kernel functors; lattices of uniform filters; sheaves; quantales},
language = {eng},
number = {2},
pages = {82-126},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Uniform filters},
url = {http://eudml.org/doc/91617},
volume = {40},
year = {1999},
}

TY - JOUR
AU - Garcia Román, Manuel
AU - Márquez Hernández, Mercedes
AU - Jara, Pascual
AU - Verschoren, Alain
TI - Uniform filters
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1999
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 40
IS - 2
SP - 82
EP - 126
LA - eng
KW - uniform filters; localizations; Gabriel filters; idempotent kernel functors; lattices of uniform filters; sheaves; quantales
UR - http://eudml.org/doc/91617
ER -

References

top
  1. [1] Anh, P.N., Duality of modules over topological rings, J. of Algebra75 (1982) 395-425. Zbl0502.16029MR653899
  2. [2] Bikan, L., Kepka, T. and Nemec, P., Rings, modules and preradicals, Dekker, New York, 1982. Zbl0483.16026MR655412
  3. [3] Borceux, F. and Cruciani, R., A Generic Representation Theorem for Non-commutative Rings, J. of Algebra167 (1994) 291-308. Zbl0806.18003MR1283288
  4. [4] Borceux, F. and Van Den Bossche, G., A generic sheaf representation for rings, Lect. Notes in Math. Vol. 1488, 30-42, Springer-Verlag, New York, 1991. Zbl0743.18002MR1173003
  5. [5] Bronowitz, R., Decomposition of Torsion Theories, Ph. D. Thesis, University of Florida, 1972. 
  6. [6] Bueso, J.L., Jara, P. and Verschoren, A., Compatibility, stability and sheaves, Dekker, New York, 1995. Zbl0815.16001MR1300631
  7. [7] Gabriel, P., Des catégories abeliennes, Bull. Soc. Math. France90 (1962) 323-448. Zbl0201.35602MR232821
  8. [8] García Román, M., Filtros uniformes y geometría algebraica no conmutativa, Ph. D. Thesis, LaLaguna, 1998. 
  9. [9] García Román, M., Márquez, C.M. and Verschoren, A., Structure sheaves and noncommutative topologies, J. of Algebra194 (1997) 224-244. Zbl0882.16018MR1461488
  10. [10] Golan, J., Localization in Noncommutative Rings, Dekker, New York, 1975. Zbl0302.16002MR366961
  11. [11] Golan, J., Torsion Theories, Longman, 1986. Zbl0657.16017MR880019
  12. [12] Golan, J., Linear topologies on a ring: an overview, Longman, 1987. Zbl0615.16028MR895585
  13. [13] Goldman, O., Rings and modules of quotients, J. of Algebra13 (1969) 10-47. Zbl0201.04002MR245608
  14. [14] Kaplansky, I., Topological rings, Bull. A. M. S.45 (1948) 809-826. Zbl0031.19902MR26643
  15. [15] Menini, C. and Orsatti, A., Topologically left artinian rings, J. of Algebra93 (1985) 475-508. Zbl0608.16036MR786765
  16. [16] Merino, L.M., Radwan, A. and Verschoren, A., Strongly normalizing modules and sheaves, Bull. Soc. Math. Belg.44 (1993) 272-284. Zbl0811.16025
  17. [17] Merino, L.M. and Verschoren, A., Strongly normalizing extensions, J. Pure Appl. Algebra92 (1994) 161-172. Zbl0801.16026MR1261123
  18. [18] Mulet, J. and Verschoren, A., On compatibility II, Comm. Algebra20 (1992) 1879-1905. Zbl0811.16026MR1167080
  19. [19] Rosenberg, A., Noncommutative Algebraic Geometry and Representations of Quantized Algebras, Kluwer Academic Publishers, 1995. Zbl0839.16002MR1347919
  20. [20] Stenström, B., Rings of Quotients, Springer Verlag, Berlin, 1975. Zbl0296.16001MR389953
  21. [21] Van Oystaeyen, F. and Verschoren, A., Reflectors and Localization, Dekker, New York, 1979. Zbl0408.16001MR521257
  22. [22] Verschoren, A., Compatibility and sheaves, Murcia, 1990. Zbl0708.16008MR1104661
  23. [23] Verschoren, A., Sheaves and localization, J. of Algebra182 (1996) 341-346. Zbl0863.16024MR1391587
  24. [24] Viola-Prioli, J.When is every kernel functor idempotent?, Can. J. of Math.27 (1975) 545-554. Zbl0268.16016MR382353

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.