A subspace of S p e c ( A ) and its connexions with the maximal ring of quotients

Giuliano Artico; Umberto Marconi; Roberto Moresco

Rendiconti del Seminario Matematico della Università di Padova (1981)

  • Volume: 64, page 93-107
  • ISSN: 0041-8994

How to cite

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Artico, Giuliano, Marconi, Umberto, and Moresco, Roberto. "A subspace of $Spec(A)$ and its connexions with the maximal ring of quotients." Rendiconti del Seminario Matematico della Università di Padova 64 (1981): 93-107. <http://eudml.org/doc/107805>.

@article{Artico1981,
author = {Artico, Giuliano, Marconi, Umberto, Moresco, Roberto},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Spec; maximal ring of quotients; semiprime ring; ring of real-valued continuous functions},
language = {eng},
pages = {93-107},
publisher = {Seminario Matematico of the University of Padua},
title = {A subspace of $Spec(A)$ and its connexions with the maximal ring of quotients},
url = {http://eudml.org/doc/107805},
volume = {64},
year = {1981},
}

TY - JOUR
AU - Artico, Giuliano
AU - Marconi, Umberto
AU - Moresco, Roberto
TI - A subspace of $Spec(A)$ and its connexions with the maximal ring of quotients
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1981
PB - Seminario Matematico of the University of Padua
VL - 64
SP - 93
EP - 107
LA - eng
KW - Spec; maximal ring of quotients; semiprime ring; ring of real-valued continuous functions
UR - http://eudml.org/doc/107805
ER -

References

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  1. [AM] G. Artico - U. Marconi, On the compactness of minimal spectrum, Rend. Sem. Mat. Univ. Padova, 56 (1977), pp. 79-84. Zbl0381.13003MR480463
  2. [FGL] N.J. Fine - L. Gillman - J. Lambek, Rings of Quotients of Rings of Functions, Mc Gill University Press, Montreal, 1965. Zbl0143.35704MR200747
  3. [GJ] L. Gillman - M. Jerison, Rings of Continuons Functions, Van Nostrand, Princeton, 1960. Zbl0093.30001MR116199
  4. [G] F. Girolami - S. Guazzone, Spezzamenti e omomorfismi di Gelfand, Atti del Sem. Mat. e Fis. Univ. Modena, 23 (1974). Zbl0389.13010MR424781
  5. [HJ] M. Henriksen - M. Jerison, The space of minimal prime ideals of a commutative ring, Trans. Amer. Math. Soc., 115 (1965), pp. 110-130. Zbl0147.29105MR194880
  6. [H] M. Hochster, Prime ideal structure in commutative rings, Trans. Amer. Math. Soc., 142 (1969), pp. 43-60. Zbl0184.29401MR251026
  7. [M] G. Mason, z-ideals and prime ideals, J. Algebra, 26 (1973), pp. 280-297. Zbl0262.13003MR321915
  8. [Me] A.C. Mewborn, Some conditions on commutative semiprime rings, J. Algebra, 13 (1969), pp. 422-431. Zbl0184.06603MR276209
  9. [Q] Y. Quentel, Sur la compacité du spectre minimal d'un anneau, Bull. Soc. Math. France, 99 (1971), pp. 265-272. Zbl0215.36803MR289496
  10. [W] R. Wiegand, Modules over universal regular rings, Pacific J. Math., 39 (1971), pp. 807-819. Zbl0211.37002MR379472

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