On approximately Cohen–Macaulay property of symbolic powers of a square-free monomial ideal
In this paper, we classify two-dimensional simplicial complexes based on their symbolic powers of the Stanley–Reisner ideal such that they are approximately Cohen–Macaulay for all t≥1 or for some t≥9. Moreover, we identify the sharp value of t=9 for which this condition holds.
Authors
- Nguyên Công Minh (ORCID: https://orcid.org/0000-0002-8060-3543)
- Hoang Le Truong (ORCID: https://orcid.org/0000-0002-2256-3176)
Institutions
- Nihon University (JP)
- Institute of Mathematics (VN)
- VNU University of Science (VN)
- Vietnam Academy of Science and Technology (VN)
- Hanoi University of Science and Technology (VN)
Publication Details
- Journal
- Kyoto journal of mathematics
- Published
- 2025-05-20
- DOI
- https://doi.org/10.1215/21562261-2024-0034
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00