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Monomial ideals whose depth function has any given number of strict local maxima

Monomial ideals whose depth function has any given number of strict local maxima

In recent years there have been several publications concerning the stable set of prime ideals of a monomial ideal, see for example [4], [7], [10] and [9].It is known by Brodmann [2] that for any graded ideal I in the polynomial ring S (or any proper ideal I in a …