On the almost Gorenstein property of determinantal rings

Naoki Taniguchi

Research output: Contribution to journalArticle

2 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 languageEnglish
Pages (from-to)1-14
Number of pages14
JournalCommunications in Algebra
DOIs
Publication statusAccepted/In press - 2017 Jul 19
Externally publishedYes

Keywords

  • Almost Gorenstein graded ring
  • almost Gorenstein local ring
  • determinantal ring

ASJC Scopus subject areas

  • Algebra and Number Theory

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