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Original Articles

Invariance of a Length Associated to a Reduction

Pages 2039-2042 | Received 01 Feb 2004, Accepted 01 Aug 2004, Published online: 01 Feb 2007

REFERENCES

  • Bruns , W. , Herzog , J. ( 1993 ). Cohen-Macaulay Rings . Cambridge Studies in Advanced Mathematics, 39 . Cambridge : Cambridge University Press .
  • Huckaba , S. ( 1987 ). Reduction numbers for ideals of higher analytic spread . Math. Proc. Camb. Phil. Soc. 102 : 49 – 57 .
  • Huckaba , S. (1996). A d-dimensional extension of a lemma of Huneke's and formulas for the Hilbert coefficients. Proc. Amer. Math. Soc. 124:1393–1400. [CROSSREF]
  • Marley , T. ( 1989 ). Hilbert Functions of Ideals in Coen-Macaulay Rings . Ph.D. thesis , Purdue University , West Lafayette , Indiana , USA .
  • Northcott , D. G. , Rees , D. ( 1954 ). Reduction of ideals in local rings . Proc. Cambridge. Philos. Soc. 50 : 145 – 158 .
  • Valla , G. ( 1979 ). On form rings which are Cohen Macaulay . J. Algebra 58 : 247 – 250 . [CROSSREF]
  • Valla , G. ( 1998 ). Problems and results on Hilbert functions of graded algebras . In: Six Lectures in Commutative Algebra . Progress in Mathematics, 166 . Basel : BIR , pp. 293 – 344 .
  • #Communicated by R. Parimala.

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