论文信息 - The monomial ideal of a finite meet-semilattice - 字舞流文

The monomial ideal of a finite meet-semilattice

Squarefree monomial ideals arising from finite meet-semilattices and their free resolutions are studied. For the squarefree monomial ideals corresponding to poset ideals in a distributive lattice, the Alexander dual is computed.

Takayuki Hibi | Xinxian Zheng | Juergen Herzog

[1] 日比孝之,et al. Algebraic combinatorics on convex polytopes , 1992 .

[2] Takayuki Hibi,et al. Distributive Lattices, Affine Semigroup Rings and Algebras with Straightening Laws , 1987 .

[3] Victor Reiner,et al. Resolutions of Stanley-Reisner rings and Alexander duality , 1998 .

[4] W. Bruns,et al. Cohen-Macaulay rings , 1993 .

[5] R. Stanley. Combinatorics and commutative algebra , 1983 .

[6] H. Priestley,et al. Distributive Lattices , 2004 .

[7] Bernd Sturmfels,et al. Cellular resolutions of monomial modules , 1997 .

[8] Takayuki Hibi,et al. Dirac's theorem on chordal graphs and Alexander duality , 2004, Eur. J. Comb..

[9] Takayuki Hibi,et al. Distributive Lattices, Bipartite Graphs and Alexander Duality , 2003 .

[10] D. Eisenbud. Commutative Algebra: with a View Toward Algebraic Geometry , 1995 .