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Original Articles

Resolutions of Facet Ideals

Pages 2301-2324 | Received 01 Dec 2002, Published online: 18 Aug 2006

References

  • Bruns , W. and Herzog , J. 1998 . Cohen–Macaulay Rings , Revised version Cambridge University Press .
  • Eliahou , S. and Villarreal , R. H. 1999 . The second Betti number of an edge ideal . Aportaciones Mat. Ser. Comun. , 25 : 101 – 106 .
  • Faridi , S. 2002a . The facet ideal of a simplicial complex . Manuscripta Math. , 109 : 159 – 176 . [CROSSREF]
  • Faridi , S. 2002b . Cohen–Macaulay properties of square-free monomial ideals. Preprint
  • Fröberg , R. 1990 . On Stanley–Reisner rings . Topics in Algebra, Part 2 , 26 : 57 – 70 .
  • Stanley , R. P. 1996 . Combinatorics and Commutative Algebra , 2nd ed. Birkhäuser .
  • Villarreal , R. H. 1995 . Rees algebra of edge ideals . Comm. Algebra , 23 : 3513 – 3524 .
  • Villarreal , R. H. 1998 . On the equations of the edge cone of a graph and some applications . Manuscripta Math. , 97 : 309 – 317 . [CROSSREF]
  • Villarreal , R. H. 2001 . Monomial Algebras Marcel Dekker, Inc .
  • #Communicated by R. Villarreal.

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