Graded filtrations and ideals of reduction number two
Commutative Algebra
2021-10-11 v3
Abstract
In this paper, we give a way to construct graded filtrations of graded modules. We then apply it to the Sally module, which describes a correction term of the Hilbert function. As a result, we obtain the inequality of the Hilbert coefficients for ideals of reduction number or .
Keywords
Cite
@article{arxiv.2105.07185,
title = {Graded filtrations and ideals of reduction number two},
author = {Shinya Kumashiro},
journal= {arXiv preprint arXiv:2105.07185},
year = {2021}
}
Comments
15 pages