On certain localic nuclei

B. Banaschewski

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1994)

  • Volume: 35, Issue: 3, page 227-237
  • ISSN: 1245-530X

How to cite

top

Banaschewski, B.. "On certain localic nuclei." Cahiers de Topologie et Géométrie Différentielle Catégoriques 35.3 (1994): 227-237. <http://eudml.org/doc/91545>.

@article{Banaschewski1994,
author = {Banaschewski, B.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {localic nuclei on a two-sided quantale; localic reflection; compactness; algebraicity; coherence; nuclear system; locale; closure system; closure operator},
language = {eng},
number = {3},
pages = {227-237},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On certain localic nuclei},
url = {http://eudml.org/doc/91545},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Banaschewski, B.
TI - On certain localic nuclei
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1994
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 35
IS - 3
SP - 227
EP - 237
LA - eng
KW - localic nuclei on a two-sided quantale; localic reflection; compactness; algebraicity; coherence; nuclear system; locale; closure system; closure operator
UR - http://eudml.org/doc/91545
ER -

References

top
  1. 1 B. Banaschewski, Another look at the localic Tychonoff Theorem. Comm. Math. Univ. Carolinae29(1988), 647-656. Zbl0667.54009MR982782
  2. 2 B. Banaschewski and R. Harting, Lattice aspects of radical ideals and choice principles. Proc. London Math. Soc.50(1985), 385-404. Zbl0569.16003MR779396
  3. 3 B. Banaschewski and R. Harting, V-ringa. Unpublished manuscript, presented at the Category Theory conference, Murten, Switzerland, 1984. 
  4. 4 B. Banaschewski and M. Erné, On Krull's separation lemma. Preprint 1993. Zbl0795.06005MR1267191
  5. 5 P.T. Johnstone, Stone spaces. Cambridge Studies in Advanced Mathematics no. 3, Cambridge University Press1982. Zbl0499.54001MR698074
  6. 6 S.B. Niefield, Localic and Boolean quotients of a quantale. Preprint 1992. 
  7. 7 S.B. Niefield and K. Rosenthal, Constructing locales from quantales. Math. Proc. Cambridge Phil. Soc.104 (1988), 215—234. Zbl0658.06007MR948908
  8. 8 K. Rosenthal, Quantales and their applications. Pitman Research Notes in Mathematics234, Longman Scientific and Technical Essex, 1990. Zbl0703.06007MR1088258
  9. 9 J. Rosický, Multiplicative lattices and frames. Acta Math. Hung.49 (1987), 391-395. Zbl0623.06006MR891051
  10. 10 S.H. Sun, On the least multiplicative nucleus on a ring. J. Pure Appl. Alg.78 (1992), 221-236. Zbl0791.16019MR1163283
  11. 11 S. Vickers, Topology via logic. Cambridge University Press1988. Zbl0668.54001MR1002193
  12. 12 A. P. J. van der Walt, Rings with dense quasicentre. Math. Z.97(1967), 38-44. Zbl0219.16020MR207755
  13. 13 E. Witt, Beweisstudien zum Satz von M. Zorn, Math. Nachr.4(1951), 434—438. Zbl0042.05002MR39776

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.