线型单纯复形相关面理想的深度与斯坦利深度
交换代数
2015-08-17 v2
摘要
我们考虑与线型单纯复形相关的面理想。我们计算其商环的深度(depth)与斯坦利深度(sdepth)。特别地，该面理想及其商环满足斯坦利不等式。
引用
@article{arxiv.1506.03238,
title = {Depth and Stanley depth of the facet ideal associated to a line-type simplicial complex},
author = {Mircea Cimpoeas},
journal= {arXiv preprint arXiv:1506.03238},
year = {2015}
}
备注
This paper has been withdrawn by the author due to a crucial error in Lemma $1.5$. Also, the main result of the paper was restated in the paper "Stanley depth of the path ideal associated to a line graph"