The Buchsbaum property of symbolic powers of Stanley-Reisner ideals of dimension 1 |
| |
| Authors: | Nguyen Cong Minh Yukio Nakamura |
| |
| Affiliation: | a Department of Mathematics, Hanoi National University of Education, 136 Xuân Thuy, Hanoi, Viet Nam
b Department of Mathematics, School of Science and Technology, Meiji University, 214-8571, Japan |
| |
| Abstract: | Let S be a polynomial ring and I be the Stanley-Reisner ideal of a simplicial complex Δ. The purpose of this paper is investigating the Buchsbaum property of S/I(r) when Δ is pure dimension 1. We shall characterize the Buchsbaumness of S/I(r) in terms of the graphical property of Δ. That is closely related to the characterization of the Cohen-Macaulayness of S/I(r) due to the first author and N.V. Trung. |
| |
| Keywords: | Primary, 13D45 Secondary, 05C90, 05E99 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
