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Journal of Algebra and Its Applications· 2026Q2

Characterization of almost Gorenstein rings in terms of the trace ideal

Ryotaro Isobe, Shinya Kumashiro

Short summary

A new characterization of one-dimensional almost Gorenstein rings using the trace ideal has been developed.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Introduces a characterization of one-dimensional almost Gorenstein rings.
  • The characterization is based on the trace ideal of the ring.
  • Investigates the almost Gorenstein property of {Z}{2}-graded rings as an application.

AI-generated from the title and abstract; the full text is not read.

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.

The authors' abstract, as published at the source. Journal of Algebra and Its Applications, 2026 · DOI ↗

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics