On the almost Gorenstein property of determinantal rings

Naoki Taniguchi

doi:10.1080/00927872.2017.1339066

On the almost Gorenstein property of determinantal rings

Naoki Taniguchi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper, we investigate the question of when the determinantal ring R over a field k is an almost Gorenstein local/graded ring in the sense of [14]. As a consequence of the main result, we see that if R is a non-Gorenstein almost Gorenstein local/graded ring, then the ring R has a minimal multiplicity.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Communications in Algebra
DOIs	https://doi.org/10.1080/00927872.2017.1339066
Publication status	Accepted/In press - 2017 Jul 19
Externally published	Yes

Keywords

Almost Gorenstein graded ring
almost Gorenstein local ring
determinantal ring

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2017.1339066

Cite this

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AB - In this paper, we investigate the question of when the determinantal ring R over a field k is an almost Gorenstein local/graded ring in the sense of [14]. As a consequence of the main result, we see that if R is a non-Gorenstein almost Gorenstein local/graded ring, then the ring R has a minimal multiplicity.

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KW - almost Gorenstein local ring

KW - determinantal ring

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On the almost Gorenstein property of determinantal rings

Abstract

Keywords

ASJC Scopus subject areas

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