Stanley Decompositions and Polarization

Abstract

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 $I$.

9 Pages

References in corpus (3)

• Stanley Conjecture in small embedding dimension
• Sequentially Cohen-Macaulay monomial ideals of embedding dimension four
• Criterions for Shellable Multicomplexes