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Abstract:
We give a generalization of Hochster's formula for local cohomologies of
square-free monomial ideals to monomial ideals, which are not
necessarily square-free. Using this formula, we give combinatorial
characterizations of generalized Cohen-Macaulay monomial ideals. We
also give other applications of the generalized Hochster's formula.
Key Words: Hochster's formula for local cohomology, Buchsbaum Stanley-Reisner ideal, monomial ideal, generalized Cohen-Macaulay ideal.
2000 Mathematics Subject Classification: Primary: 13D45,
Secondary: 13F20,13F55.
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