REFERENCES
- Brøt ndsted , A. ( 1983 ). An Introduction to Convex Polytopes . Graduate Texts in Math. Vol. 90 . Berlin/New York/Tokyo : Springer–Verlag .
- Bruns , W. , Hezrog , J. ( 1993 ). Cohen–Macaulay Rings . Cambridge/New York/Sydney : Cambridge University Press .
- Eagon , J. A. , Reiner , V. ( 1998 ). Resolutions of Stanley–Reisner rings and Alexander duality . J. Pure and Applied Algebra 130 : 265 – 275 .
- Schenzel , P. ( 1997 ). Applications of Koszul homology to numbers of generators and syzygies . J. Pure and Applied Algebra 114 : 287 – 303 .
- Stanley , R. P. ( 1996 ). Combinatorics and Commutative Algebra. , 2nd ed. Boston/Basel/Stuttgart : Birkhaeuser .
- Terai , N. , Hibi , T. ( 1997 ). Computation of Betti numbers of monomial ideals associated with stacked polytopes . Manuscripta. Math. 92 : 447 – 453 .
- Terai , N. , Yoshida , K. ( 2006 ). Stanley–Reisner rings with large multiplicities are Cohen–Macaulay . J. Algebra 301 : 493 – 508 .
- Terai , N. ( 2007 ). Alexander duality in Stanley–Reisner rings . In: Hibi , ed. Affine Algebraic Geometry – in honor of Professor Masayoshi Miyanishi on the Occasion of His Retirement from Osaka Univeristy . Osaka University Press , pp. 449 – 462 .
- Yanagawa , K. ( 2000 ). Alexander duality for Stanley–Reisner rings and squarefree ℕ n -graded modules . J. Algebra 225 : 630 – 645 .
- Communicated by R. H. Villarreal.