On primeness and maximality of filters
Francis Borceux; Maria-Cristina Pedicchio
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1989)
- Volume: 30, Issue: 2, page 167-181
- ISSN: 1245-530X
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topBorceux, Francis, and Pedicchio, Maria-Cristina. "On primeness and maximality of filters." Cahiers de Topologie et Géométrie Différentielle Catégoriques 30.2 (1989): 167-181. <http://eudml.org/doc/91437>.
@article{Borceux1989,
author = {Borceux, Francis, Pedicchio, Maria-Cristina},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {internal logic of a topos; proper; prime; maximal; filters; boolean algebras; distributive lattices},
language = {eng},
number = {2},
pages = {167-181},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On primeness and maximality of filters},
url = {http://eudml.org/doc/91437},
volume = {30},
year = {1989},
}
TY - JOUR
AU - Borceux, Francis
AU - Pedicchio, Maria-Cristina
TI - On primeness and maximality of filters
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1989
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 30
IS - 2
SP - 167
EP - 181
LA - eng
KW - internal logic of a topos; proper; prime; maximal; filters; boolean algebras; distributive lattices
UR - http://eudml.org/doc/91437
ER -
References
top- 1 B. Banaschewski& K.R. Bhutani, Boolean algebras in a localic topos, Math. Proc. Cambridge Phil. Soc.100 (1986), 43-55. Zbl0598.18001MR838652
- 2 F. Borceux, M.C. Peddicchio & F. Rossi, Boolean algebras in a localic topos, Sem. Math. Univ. Cath. de Louvain87 (1986).
- 3 F. Borceux & M.C. Peddicchio, Prime elements in a localic topos, Submitted for publication. Zbl0675.18004
- 4 F. Borceux & M.C. Peddicchio, De Morgan's and strong De Morgan's law in a topos of sheaves, Proc. Prague Conf. in Topology 1986 (to appear). Zbl0644.18004
- 5 P.T. Johnstone, Topos Theory, Academic Press1977. Zbl0368.18001MR470019
- 6 P.T. Johnstone, Conditions related to De Morgan's law, Lecture Notes in Math.253, Springer (1979), 479-491. Zbl0445.03041MR555556
- 7 P.T. Johnstone, Another condition equivalent to De Morgan's law, Comm. in Algebra7 (1979), 1309-1312. Zbl0417.18002MR538331
- 8 P.T. Johnstone, Automorphisms in Ω, Alg. Universalis9 (1979), 1-7. Zbl0392.18005
- 9 C.J. Mulvey, The maximality of filters, J. Pure & Appl. Alg. (to appear). Zbl0742.18007MR1082795
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