Principal vector-spread Borel ideals

Authors

  • Marilena Crupi Department of Mathematics and Computer Sciences, Physics and Geological Sciences, University of Messina, Messina, Italy
  • Antonino Ficarra Basque Center for Applied Mathematics, Bilbao, Spain
  • Ernesto Lax Department of Mathematics and Computer Sciences, Physics and Geological Sciences, University of Messina, Messina, Italy

DOI:

https://doi.org/10.2140/mscand.2026.132.33

Keywords:

vector-spread Borel ideals, primary decomposition, sequentially Cohen–Macaulay ideals, symbolic powers

Abstract

We study the class of squarefree principal vector-spread Borel ideals. We compute the minimal primary decomposition of these ideals and thereby we prove that they are sequentially Cohen–Macaulay. Finally, we completely classify the ideals in our class having the property that their ordinary and symbolic powers coincide.

References

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Published

2026-07-27

Issue

Vol. 132 No. 1 (2026)

Section

Articles

How to Cite

[1]
M. Crupi, A. Ficarra, and E. Lax, “Principal vector-spread Borel ideals”, Math. Scand., vol. 132, no. 1, pp. 33–47, Jul. 2026, doi: 10.2140/mscand.2026.132.33.