Acta Mathematica Vietnamica
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On the Cohen-Macaulayness of Bracket Powers of Generalized Mixed Product Ideals
Roya Moghimiporpp. 709-718
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.