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arXiv · 2512.06761

Higher-dimensional Teter rings via the canonical trace

Sora Miyashita·Taiga Ozaki
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Abstract

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 is also necessary, yielding a characterization. Consequently, several nearly Gorenstein families are Teter; moreover, under certain hypotheses, the Cohen--Macaulay type of nearly Gorenstein rings is bounded by the codimension. We also analyze Teterness for fiber products, Veronese subrings, and numerical semigroup rings.

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Sora Miyashita, Taiga Ozaki. 2025-12-07. Higher-dimensional Teter rings via the canonical trace. https://arxiv.org/abs/2512.06761

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