The projective spectrum as a distributive lattice
Thierry Coquand; Henri Lombardi; Peter Schuster
Cahiers de Topologie et Géométrie Différentielle Catégoriques (2007)
- Volume: 48, Issue: 3, page 220-228
- ISSN: 1245-530X
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topCoquand, Thierry, Lombardi, Henri, and Schuster, Peter. "The projective spectrum as a distributive lattice." Cahiers de Topologie et Géométrie Différentielle Catégoriques 48.3 (2007): 220-228. <http://eudml.org/doc/91720>.
@article{Coquand2007,
author = {Coquand, Thierry, Lombardi, Henri, Schuster, Peter},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {point-free topology; graded commutative ring; homogeneous prime ideal; glueing construction; formal projective Hilbert Nullstellensatz; formal point; distributive lattice; prime filter},
language = {eng},
number = {3},
pages = {220-228},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The projective spectrum as a distributive lattice},
url = {http://eudml.org/doc/91720},
volume = {48},
year = {2007},
}
TY - JOUR
AU - Coquand, Thierry
AU - Lombardi, Henri
AU - Schuster, Peter
TI - The projective spectrum as a distributive lattice
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2007
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 48
IS - 3
SP - 220
EP - 228
LA - eng
KW - point-free topology; graded commutative ring; homogeneous prime ideal; glueing construction; formal projective Hilbert Nullstellensatz; formal point; distributive lattice; prime filter
UR - http://eudml.org/doc/91720
ER -
References
top- [1] Coquand, Th., and H. Lombardi, Hidden constructions in abstract algebra (3). Krull dimension of distributive lattices and commutative rings. In: M. Fontana, S.-E. Kabbaj, S. Wiegand, eds., Commutative Ring Theory and Applications. Lect. Notes Pure Appl. Math. 131, Dekker, New York (2002), 477-499 Zbl1096.13507MR2029845
- [2] Eisenbud, D., and J. Harris, The Geometry of Schemes. Springer, New York (2000) Zbl0960.14002MR1730819
- [3] Johnstone, P.T., Stone Spaces. Cambridge Studies Adv. Math. 3, Cambridge University Press, Cambridge (1982) Zbl0499.54001MR698074
- [4] Joyal, A., Les théorèmes de Chevalley-Tarski et remarques sur l'algèbre constructive. Cahiers top. et géom. diff. 16 (1976), 256-258 Zbl0354.02038
- [5] Tierney, M., On the spectrum of a ringed topos. In: A. Heller, M. Tierney, eds., Algebra, Topology, and Category Theory. A Collection of Papers in Honor of Samuel Eilenberg. Academic Press, New York (1976), 189-210 Zbl0356.18011MR409604
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