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Original Articles

A topological characterization of the goldman prime spectrum of a commutative ring

Pages 2329-2337 | Received 01 Apr 1998, Published online: 27 Jun 2007

References

  • Artin , E. and Tate , J.T. 1951 . A note on finite ring extension . J. Math. Soc. Japan , 3 : 74 – 77 .
  • Aull , C.E. and Thron , W.J. 1963 . Separation axioms between T 0 and T 1 . Indag. Math , 24 : 26 – 37 .
  • Bouacida E. Echi O. Salhi E. Picavet G. Goldman points and Goldman topology Preprint.Supported by the DGRST (E03/C15)
  • Goldman , O. 1951 . Hilbert Rings and the Hilbert Nullstallensatz . Math. Z , 54 : 136 – 140 .
  • Grothendieck , A. and Dieudonné , J. 1971 . Eléments de géométrie algébrique , Springer- Verlag .
  • Hochster , M. 1969 . Prime ideal structure in commutative rings . Trans. Amer. Math. Soc , 142 : 43 – 60 .
  • Hochster , M. 1971 . The minimal prime spectrum of a commutative ring . Can. J. Math , 23 : 749 – 758 .
  • Kaplansky , I. 1974 . Commutative rings , The University of Chicago Press . Revised Edition
  • Krull , W. 1951 . Jacobsonsche Ringe, Hilbertscher Nullstellensatz Dimensionen theorie . Math. Z , 54 : 354 – 387 .
  • Picavet , G. 1975 . Autour des ideaux premiers de Goldman d’un an- neau commutatif . Ann. Sc. Univ. Clermont. Math , 57 ( 11 ) : 73 – 90 .
  • Picavet , G. 1975 . Sur les anneaux commutatifs dont tout idéal premier est de Goldman . C.R.A.S. Paris , A-280 ( 11 ) : 1719 – 1721 .

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