Regular sequences and ZD-modules
Commutative Algebra
2016-03-08 v2
Abstract
Let R be a Noetherian ring, I an ideal of R and M a ZD-module. Let S be a Melkersson subcategory with respect to I such that M/IM doesn't belong to S. We show that all maximal S-sequences on M in I, have equal length. If this common length is denoted by S-depth_I(M), then S-depth_I(M) = inf{i : H^i_I(M) doesn't belong to S}.
Cite
@article{arxiv.1305.0164,
title = {Regular sequences and ZD-modules},
author = {Sh. Payrovi and M. Lotfi Parsa},
journal= {arXiv preprint arXiv:1305.0164},
year = {2016}
}
Comments
This paper has been withdrawn by the author due to a crucial errors in the paper