2 papers
math.AC2026
Higher-dimensional Teter rings via the canonical trace
Sora Miyashita, Taiga Ozaki
We study Puthenpurakal's higher-dimensional Teter rings via the canonical trace ideal. We give a sufficient criterion for Teterness and show that, in the standard graded case, it i…
math.AC2025
Pseudo-Frobenius numbers and defining ideals in stretched numerical semigroup rings
Do Van Kien, Naoyuki Matsuoka, Taiga Ozaki
The pseudo-Frobenius numbers of a numerical semigroup are deeply connected to the structure of the defining ideal of its semigroup ring . In this paper, we resolve a cert…