Abstract
Let $(R,\mathfrak {m})$ be a Noetherian local ring which is a quotient of a Gorenstein local ring. Let $M$ be a finitely generated $R$-module. In this paper, we study the structure of the canonical module $K(R\ \mathbb {n}\ M)$ of the idealization $R\ \mathbb {n}\ M$ via the polynomial type introduced by Cuong~\cite {C}. In particular, we give a characterization for $K(R\ \mathbb {n}\ M)$ being Cohen-Macaulay and generalized Cohen-Macaulay.
Citation
Nguyen Thi Hong Loan. "On canonical modules of idealizations." J. Commut. Algebra 9 (1) 107 - 117, 2017. https://doi.org/10.1216/JCA-2017-9-1-107
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