Sheaves of semiprime ideals

S. B. Niefield; K. I. Rosenthal

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1990)

  • Volume: 31, Issue: 3, page 213-228
  • ISSN: 1245-530X

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Niefield, S. B., and Rosenthal, K. I.. "Sheaves of semiprime ideals." Cahiers de Topologie et Géométrie Différentielle Catégoriques 31.3 (1990): 213-228. <http://eudml.org/doc/91460>.

@article{Niefield1990,
author = {Niefield, S. B., Rosenthal, K. I.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {sheaf of commutative rings; Zariski spectrum; quantale; semiprime elements; locale; radical ideals},
language = {eng},
number = {3},
pages = {213-228},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Sheaves of semiprime ideals},
url = {http://eudml.org/doc/91460},
volume = {31},
year = {1990},
}

TY - JOUR
AU - Niefield, S. B.
AU - Rosenthal, K. I.
TI - Sheaves of semiprime ideals
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1990
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 31
IS - 3
SP - 213
EP - 228
LA - eng
KW - sheaf of commutative rings; Zariski spectrum; quantale; semiprime elements; locale; radical ideals
UR - http://eudml.org/doc/91460
ER -

References

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  2. 2 F. Borceux, M.-C. Pedicchio & F. Rossi, Boolean algebra in a localic topos, Univ. Cath. de Louvain, Rapport 87 (1986). Zbl0742.18006
  3. 3 P. Dupont, Anneaux et modules dans les topos localiques, Ph.D. Thesis, Univ. Cath. de Louvain, 1987. 
  4. 4 A. Grothendieck & J. Dieudonne, Elements de Géométrie Algébrique, Tome I: le langage des schémas, Publ. Math. I. H.E.S.4, 1960. 
  5. 5 M. Hakim, Topos annelés et schémas relatifs, Ergebnisse Math.64, Springer, 1972. Zbl0246.14004MR364245
  6. 6 M. Hochster, Prime ideal structure in commutative rings, Trans. A.M.S.142 (1969), 43-60. Zbl0184.29401MR251026
  7. 7 P.T. Johnstone, Topos Theory. Academic Press, 1977. Zbl0368.18001MR470019
  8. 8 P.T. Johnstone, Stone spaces, Cambridge Univ. Press, 1982. Zbl0499.54001MR698074
  9. 9 A. Joyal & M. Tierney, An extension of the Galois theory of Grothendieck, Memoirs A.M.S.309 (1984) . Zbl0541.18002MR756176
  10. 10 C.J. Mulvey &, Suppl. al Rend. del Circ. Mat. di Palermo, Serie II, 12 (1986), 99-104. Zbl0633.46065MR853151
  11. 11 S.B. Niefield& K.I. Rosenthal, Constructing locales from quantales. Math. Proc. Camb. Phil. Soc.104 (1988), 215-234. Zbl0658.06007MR948908
  12. 12 R.S. Pierce, Modules over commutative regular rings, Memoirs A.M.S.70 (1967). Zbl0152.02601MR217056
  13. 13 M. Tierney, On the spectrum of a ringed topos, In Algebra, Topology and Category Theory: a collection of papers in honor of Samuel Eilenberg, Academic Press (1976), 189-210. Zbl0356.18011MR409604

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