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arXiv · 1807.05743

Polarization and depolarization of monomial ideals with application to multistate system reliability

Fatemeh Mohammadi·Patricia Pascual-Ortigosa·Eduardo Sáenz-de-Cabezón·Henry P. Wynn
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Abstract

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.

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Fatemeh Mohammadi, Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón, Henry P. Wynn. 2018-07-16. Polarization and depolarization of monomial ideals with application to multistate system reliability. https://doi.org/10.1007/s10801-019-00887-6

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