Monomial Ideals with Primary Components given by Powers of Monomial Prime Ideals

Jürgen Herzog, Marius Vladoiu

Abstract


We characterize monomial ideals which are intersections of powers of monomial prime ideals and study classes of ideals with this property, among them polymatroidal ideals.

Keywords


Monomial ideals of intersection type, canonical primary decompositions, polymatroidal ideals, edge ideals

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