## Tokyo Journal of Mathematics

### A Note on the $k$-Buchsbaum Property of Symbolic Powers of Stanley-Reisner Ideals

#### Abstract

Let $I$ be the Stanley-Reisner ideal of pure simplicial complex $\Delta$ of dimension one. We shall give a formula for $S/I^{(r)}$ to be a $k$-Buchsbaum ring for each $r>0$, where $I^{(r)}$ is the $r$-th symbolic power of $I$. The main result is an improvement of the previous result in [MN] on the $k$-Buchsbaumness of $S/I^{(r)}$.

#### Article information

Source
Tokyo J. Math., Volume 34, Number 1 (2011), 221-227.

Dates
First available in Project Euclid: 11 August 2011

https://projecteuclid.org/euclid.tjm/1313074452

Digital Object Identifier
doi:10.3836/tjm/1313074452

Mathematical Reviews number (MathSciNet)
MR2866644

Zentralblatt MATH identifier
1235.13017

#### Citation

MINH, Nguyên Công; NAKAMURA, Yukio. A Note on the $k$-Buchsbaum Property of Symbolic Powers of Stanley-Reisner Ideals. Tokyo J. Math. 34 (2011), no. 1, 221--227. doi:10.3836/tjm/1313074452. https://projecteuclid.org/euclid.tjm/1313074452

#### References

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