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Acta Mathematica Vietnamica

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

icon-email Roya Moghimipor

Abstract

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.