Projectivity of pure ideals

G. De Marco

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 69, page 289-304
  • ISSN: 0041-8994

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De Marco, G.. "Projectivity of pure ideals." Rendiconti del Seminario Matematico della Università di Padova 69 (1983): 289-304. <http://eudml.org/doc/107903>.

@article{DeMarco1983,
author = {De Marco, G.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {number of generators of pure ideal; projectivity of ideal of ring of continuous functions; paracompact space},
language = {eng},
pages = {289-304},
publisher = {Seminario Matematico of the University of Padua},
title = {Projectivity of pure ideals},
url = {http://eudml.org/doc/107903},
volume = {69},
year = {1983},
}

TY - JOUR
AU - De Marco, G.
TI - Projectivity of pure ideals
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 69
SP - 289
EP - 304
LA - eng
KW - number of generators of pure ideal; projectivity of ideal of ring of continuous functions; paracompact space
UR - http://eudml.org/doc/107903
ER -

References

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  1. [B 1] N. Bourbaki, Algèbre, Chapt. 2, Hermann, Paris, 1961. MR171800
  2. [B 2] N. Bourbaki, Algèbre commutative, Chapt. 1-7, Hermann, Paris, 1961. Zbl0108.04002
  3. [Bk1] R. Bkouche, Couples spectraux et faisceaux associés. Application aux anneaux de fonctions, Bull. Soc. Math. France, 98 (1970), pp. 253-295. Zbl0201.37204MR477780
  4. [Bk2] R. Bkouche, Pureté, mollesse et paracompacité, C. R. Acad. Sc. Paris, 270 (22 juin 1970), Série A, pp. 1653-1655. Zbl0194.34802MR286803
  5. [Br 1] J.G. Brookshear, Projective ideals in rings of continuous functions, Pac. J. of Math., 71, no. 2 (1977), pp. 313-333. Zbl0361.54004MR454908
  6. [Br 2] J.G. Brookshear, On projective prime ideals in C(X), Proc. Amer. Math. Soc., 69 (1978), pp. 203-204. Zbl0387.54004MR470929
  7. [D1] G. De Marco, On the countably generated z-ideals of C(X), Proc. Amer. Math. Soc., 31 (1972), pp. 574-576. Zbl0211.25902MR288563
  8. [D2] G. De Marco, A characterization of C(X) for X strongly paracompact (or paracompact), Symposia Mathematica, 21 (1977), pp. 547-554. Zbl0382.54010MR467651
  9. [DO] G. De Marco - A. Orsatti, Commutative rings in which every prime ideal is contained in a unique maximal ideal, Proc. Amer. Math. Soc., 30 (1971), pp. 549-566. Zbl0207.05001MR282962
  10. [F] D. Fieldhouse, Aspect of purity, Lecture Notes inPure and Applied Mathematics, 7 (1974), pp. 185-196. Zbl0275.16023MR338078
  11. [FGL] Fine - Gillman - Lambek, Rings of quotients of rings of functions, McGill University Press, Montreal, 1965. Zbl0143.35704
  12. [HJ] M. Henriksen - D.G. Johnson, On the structure of a class of archimedean lattice ordered algebras, Fund. Math. M. (1961), pp. 73-94. Zbl0099.10101MR133698
  13. [GJ] L. Gillman - M. Jerison, Rings of continuous functions, Van Nostrand, New York, 1960. Zbl0093.30001MR116199
  14. [K] I. Kaplansky, Projective modules, Ann. of Math., 68 (1958), pp. 372-377. Zbl0083.25802MR100017
  15. [L1] D. Lazard, Disconnexitès des spectres d'anneaux et des preschèmas, Bull. Soc. Math. France, 95 (1967), pp. 95-108. Zbl0158.03902MR223374
  16. [L2] D. Lazard, Autour de la platitude, Bull. Soc. Math. France, 67 (1969), pp. 81-128. Zbl0174.33301MR254100
  17. [V] V. Vasconcelos, Finiteness in projective ideals, J. of Alg., 25 (1973), pp. 269-278. Zbl0254.13012MR314828

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