Geodesic
Stanley decompositions and polarization
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 483-493
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We define nice partitions of the multicomplex associated with 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 $I$.
We define nice partitions of the multicomplex associated with 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 $I$.
DOI : 10.1007/s10587-011-0067-1
Classification : 13C14, 13F20, 13F55, 13H10
Keywords: monomial ideals; partitionable simplicial complexes; multicomplexes; Stanley ideals; polarization 
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Ahmad, Sarfraz. Stanley decompositions and polarization. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 483-493. doi: 10.1007/s10587-011-0067-1

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