Surjective-Buchsbaum modules over Cohen-Macaulay local rings
type: Item
instance of: scholarly article
title: Surjective-Buchsbaum modules over Cohen-Macaulay local rings
zbMATH Open document ID: 0814.13017
DOI: 10.1007/BF02571897
author: Takesi Kawasaki
published in: Mathematische Zeitschrift
publication date: 1995-06-12T00:00:00Z
full work available at URL: https://eudml.org/doc/174722
review text: In 1987 Goto proved that over regular local rings, there exist only finitely many isomorphism classes of indecomposable maximal Buchsbaum modules. In this paper we shall establish a structure theorem for maximal surjective Buchsbaum modules of finite injective dimension over Cohen- Macaulay local rings, that naturally improves Goto's result. The assumption on the injective dimension is crucial; it cannot be replaced with the finiteness of projective dimension. We shall construct, over certain Cohen-Macaulay local rings, infinitely many non-isomorphic indecomposable maximal surjective Buchsbaum modules of finite projective dimension.
reviewed by: Takesi Kawasaki
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 13D05
Mathematics Subject Classification ID: 13C14
zbMATH DE Number: 737180
zbMATH Keywords: surjective Buchsbaum modules
zbMATH Keywords: Cohen-Macaulay local rings
zbMATH Keywords: injective dimension
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 737180