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Article

Ahmad, Sarfraz
Stanley decompositions and polarization. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 2, pp. 483-493
MSC: 13C14, 13F20, 13F55, 13H10 | MR 2905417 | Zbl 1249.13016 | DOI: 10.1007/s10587-011-0067-1
Keywords:
monomial ideals; partitionable simplicial complexes; multicomplexes; Stanley ideals; polarization
Summary:
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 $I$.
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