Roya Moghimipor: Strong persistence property of generalized mixed product ideals, 281-294

Abstract:

Let $L$ be the generalized mixed product ideal induced by a monomial ideal $I$. The associated prime ideals of $L$ are studied, including the stable set of associated prime ideals of this class of ideals. It is shown that $I$ has the strong persistence property if and only if $L$ has the strong persistence property.

Key Words: Linear resolution, monomial localization, monomial ideals.

2010 Mathematics Subject Classification: Primary 13C13; Secondary 13D02.

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