Work

Higher-dimensional Teter rings via the canonical trace

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2512.06761

Authors: Miyashita, Sora, Ozaki, Taiga

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7110935279

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