Combinatorial characterizations of generalized Cohen-Macaulay monomial ideals

Details Combinatorial characterizations of generalized Cohen-Macaulay monomial ideals Combinatorial characterizations of generalized Cohen-Macaulay monomial ideals

2005-03-06

arxiv.org/abs/math/0503111v1

Mathematics

Commutative Algebra

This is a largely enhanced version of the previous manuscript "A generalized Hochster's formula for local cohomologies of mono

Scientific paper

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.

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