B-sequence and approximations of generalized Cohen-Macaulay ideals
Commutative Algebra
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0307232,
title = {B-sequence and approximations of generalized Cohen-Macaulay ideals},
author = {Yukihide Takayama},
journal= {arXiv preprint arXiv:math/0307232},
year = {2007}
}
Comments
This is a largely enhanced version of "Single spot ideals of codimension 3 and long Bourbaki sequences"(math.AC/0303384)