On canonical Cohen–Macaulay modules

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s. 1 Let (R,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(RnM) of the idealization RnM via the polynomial type introduced by N. T. Cuong [5]. In particular, we give a characterization for K(RnM) being Cohen-Macaulay and generalized Cohen-Macaulay.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2012

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2012.09.002