On the Cohen-Macaulayness of Bracket Powers of Generalized Mixed Product Ideals

摘要

Let L be the generalized mixed product ideal induced by a monomial ideal I. For every integer k >= 1, we denote the k th bracket power of L by L-[k]. We study algebraic properties of L-[k], and show that L-[k] is Cohen-Macaulay if I is Cohen-Macaulay.