Gorenstein rings and irreducible parameter ideals
Thomas Marley, Mark W. Rogers, Hideto Sakurai
Abstract
Given a Noetherian local ring (R,m) it is shown that there exists an integer l such that R is Gorenstein if and only if some system of parameters contained in ml generates an irreducible ideal. We obtain as a corollary that R is Gorenstein if and only if every power of the maximal ideal contains an irreducible parameter ideal.
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