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Lookup NU author(s): Professor Peter Jorgensen
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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.
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