B-sequence and approximations of generalized Cohen-Macaulay ideals

Details B-sequence and approximations of generalized Cohen-Macaulay ideals B-sequence and approximations of generalized Cohen-Macaulay ideals

2003-07-17

arxiv.org/abs/math/0307232v1

Mathematics

Commutative Algebra

This is a largely enhanced version of "Single spot ideals of codimension 3 and long Bourbaki sequences"(math.AC/0303384)

Scientific paper

We introduce the notion of b-sequence for finitely generated modules over Noetherian rings, which characterizes long Bourbaki sequences. Our main concern is an application of this notion to generalized Cohen-Macaulay approximation, which we introduced lately. We will show how we can construct long Bourbaki sequences of non-trivial type characterizing generalized Cohen-Macaualy ideals by finding suitable b-sequences.

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