Hilbert functions of socle ideals
Commutative Algebra
2015-08-13 v1
Abstract
In this paper, we explore a relationship between Hilbert functions and the irreducible decompositions of ideals in local rings. Applications are given to characterize the regularity, Gorensteinness, Cohen-Macaulayness and sequentially Cohen-Macaulayness of local rings.
Cite
@article{arxiv.1508.02800,
title = {Hilbert functions of socle ideals},
author = {Hoang Le Truong and Hoang Ngoc Yen},
journal= {arXiv preprint arXiv:1508.02800},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1504.06041