Cohen-Macaulay injective, projective, and flat dimension

Details Cohen-Macaulay injective, projective, and flat dimension Cohen-Macaulay injective, projective, and flat dimension

2004-05-27

arxiv.org/abs/math/0405523v1

Mathematics

Commutative Algebra

18 pages

Scientific paper

We define three new homological dimensions - Cohen-Macaulay injective,
projective, and flat dimension - which inhabit a theory similar to that of
classical injective, projective, and flat dimension. Finiteness of the new
dimensions characterizes Cohen-Macaulay rings with dualizing modules.

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