Stanley Decompositions and Polarization

Details Stanley Decompositions and Polarization Stanley Decompositions and Polarization

2009-11-11

arxiv.org/abs/0911.2104v1

Mathematics

Combinatorics

9 Pages

Scientific paper

We define nice partitions of the multicomplex associated to a Stanley ideal.
As the main result we show that if the monomial ideal $I$ is a CM Stanley
ideal, then $I^p$ is a Stanley ideal as well, where $I^p$ is the polarization
of $I$.

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