Year: 2026
Type: preprint
Abstract: We classify nearly Gorenstein monomial ideals over an arbitrary field. In dimension zero, we compute the canonical trace ideal using a graph on the socle monomials. In positive dimension, we prove a dimension bound under unmixedness and a connectedness condition, with weaker assumptions on the canonical trace ideal.
Source: arXiv (Cornell University)
Author: Miyashita, Sora
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203701635