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Polarization and depolarization of monomial ideals with application to multistate system reliability. (arXiv:1807.05743v1 [math.AC])

来源于:arXiv
We study the family of depolarizations of a squarefree monomial ideal $I$, i.e. all monomial ideals whose polarization is $I$. We describe a method to find all depolarizations of $I$ and study some of the properties they share and some they do not share. We then apply polarization and depolarization tools to study the reliability of multi-state coherent systems via binary systems and vice versa. 查看全文>>