Abstract
In this paper, we prove that the t-th ordinary and/or symbolic power of a Stanley-Reisner ideal is level for some positive integer t≥3 if and only if IΔ is a complete intersection and equi-generated. For t=2, we give a characterization of level property of the second symbolic power IΔ (2) when Δ is a matroid complex of dimension one.
Original language | English |
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Pages (from-to) | 350-364 |
Number of pages | 15 |
Journal | Journal of Algebra |
Volume | 535 |
DOIs | |
Publication status | Published - Oct 1 2019 |
Externally published | Yes |
Keywords
- Levelness
- Matroid
- Ordinary powers
- Stanley-Reisner ideal
- Symbolic powers
ASJC Scopus subject areas
- Algebra and Number Theory