English

Level and pseudo-Gorenstein path polyominoes

Commutative Algebra 2023-09-12 v2

Abstract

We classify path polyominoes which are level and pseudo-Gorenstein. Moreover, we compute all level and pseudo-Gorenstein simple thin polyominoes with rank less than or equal to 10. We also compute the regularity of the pseudo-Gorenstein simple thin polyominoes in relation to their rank.

Keywords

Cite

@article{arxiv.2308.05461,
  title  = {Level and pseudo-Gorenstein path polyominoes},
  author = {Giancarlo Rinaldo and Francesco Romeo and Rajib Sarkar},
  journal= {arXiv preprint arXiv:2308.05461},
  year   = {2023}
}
R2 v1 2026-06-28T11:52:39.531Z