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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.

Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán MathScinet Arxiv