Nguyen Thi Hong Loan and Nong Quoc Chinh Vinh University, Thai Nguyen College of Sciences
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.
