On the almost Gorenstein property of determinantal rings

2017/01/24 by Naoki Taniguchi, Taniguchi, Naoki
Mathematics · #13A02 #13H10 #13H15 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1701.06690

openalex publication_date 2017/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Goto, Takahashi, and the author. 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.

Citations

• Almost Gorenstein Rees algebras of p_g-ideals, good ideals, and powers of the maximal ideals

Related

• Remarks on almost Gorenstein rings
• Conditions of multiplicity and applications for almost Gorenstein graded rings
• When is \mathfrakm:\mathfrakm an almost Gorenstein ring?
• Nearly Gorenstein local rings defined by maximal minors of a 2 × n matrix
• Almost Gorenstein determinantal rings of symmetric matrices