Work

Almost Gorenstein standard graded rings and their localizations

Year: 2026

Type: preprint

Abstract: We prove that a Cohen-Macaulay standard graded integral domain over a field is almost Gorenstein as a graded ring if and only if the completion of its localization at the graded maximal ideal is almost Gorenstein as a local ring.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.02767

Author: Endo, Naoki

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Awards: Towards the theory of Arf rings of higher dimension, Commutative ring theory for blow-up algebras

OpenAlex ID: W7220387889

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