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Original Articles

The Macaulay–Lex Ideals in k[x, y, z]

Pages 2007-2025 | Received 11 Mar 2011, Published online: 14 May 2013

REFERENCES

  • Bigatti , A. ( 1993 ). Upper bounds for the Betti's numbers of a given Hilbert function . Comm. Algebra 21 : 2317 – 2334 .
  • Clements , G. , Lindstrom , B. ( 1969 ). A generalization of a combinatorial theorem of Macaulay . J. Combinatorial Theory 7 : 230 – 238 .
  • He , Y. The classification of Macaulay-lex ideals in k[x, y] . To appear in Comm. Algebra .
  • Hulett , H. ( 1993 ). Maximum Betti numbers of homogeneous ideals with a given Hilbert function . Comm. Algebra 21 : 2335 – 2350 .
  • Macaulay , F. ( 1927 ). Some properties of enumeration in the theory of modular systems . Proc. London Math. Soc. 26 : 531 – 555 .
  • Mermin , J. , Murai , S. Betti Numbers of Lex Ideals over Some Macaulay-Lex Rings . Preprint .
  • Mermin , J. , Peeva , I. ( 2006 ). Lexifying ideals . Math. Res. Lett. 13 ( 3 ): 409 – 422 .
  • Pardue , K. ( 1996 ). Deformation classes of graded modules and Maximal Betti numbers . Illinois J. Math. 40 : 564 – 585 .
  • Communicated by V. A. Artamonov.

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