Characterization of almost Gorenstein rings in terms of the trace ideal

We provide a characterization of one-dimensional almost Gorenstein rings in terms of the trace ideal. As an application, we investigate the almost Gorenstein property of certain ℤ 2 -graded rings.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2026-10-16
DOI
https://doi.org/10.1142/s0219498828500880
Primary Topic
Commutative Algebra and Its Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Characterization of almost Gorenstein rings in terms of the trace ideal

Shinya Kumashiro, Ryotaro Isobe
Journal of Algebra and Its Applications
Commutative Algebra and Its Applications
article

Characterization of almost Gorenstein rings in terms of the trace ideal

Shinya Kumashiro, Ryotaro Isobe
article en

Abstract

We provide a characterization of one-dimensional almost Gorenstein rings in terms of the trace ideal. As an application, we investigate the almost Gorenstein property of certain ℤ 2 -graded rings.

Journal of Algebra and Its Applications
Openalex Percentile: Top 94%
Commutative Algebra and Its Applications
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