Idealizations of pseudo Buchsbaum modules over a pseudo Buchsbaum ring

Nguyen Thi Hong Loan; Nong Quoc Chinh

doi:10.4134/BKMS.2013.50.5.1523

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Bull. Korean Math. Soc. 2013; 50(5): 1523-1530

Printed September 1, 2013

https://doi.org/10.4134/BKMS.2013.50.5.1523

Idealizations of pseudo Buchsbaum modules over a pseudo Buchsbaum ring

Nguyen Thi Hong Loan and Nong Quoc Chinh

Vinh University, Thai Nguyen College of Sciences

Abstract

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Abstract

Let $(A,\mathfrak m)$ be a Noetherian local ring and $M$ a finitely generated $A$-module. The notion of pseudo Buchsbaum module was introduced in \cite{CL} as an extension of that of Buchsbaum module. In this paper, we give a condition for the idealization $A\mathbb n M$ of $M$ over $A$ to be pseudo Buchsbaum.

Keywords: Buchsbaum modules, pseudo Buchsbaum modules, idealization

MSC numbers: 13E05, 13C14