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Cohen-macaulay homological dimensions

Lookup NU author(s): Professor Peter Jorgensen

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Abstract

We define three new homological dimensions: Cohen-Macaulay injective, projective, and flat dimension, and show that they inhabit a theory similar to that of classical injective, projective, and flat dimension, In particular, we show that finiteness of the new dimensions characterizes Cohen-Macaulay rings with dualizing modules.


Publication metadata

Author(s): Holm H, Jorgensen P

Publication type: Article

Publication status: Published

Journal: Rendiconti del Seminario Matematico della Università di Padova

Year: 2007

Volume: 117

Pages: 87-112

ISSN (print): 0041-8994

ISSN (electronic):

Publisher: CEDAM


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