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 . 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.
- Almost Gorenstein graded ring
- almost Gorenstein local ring
- determinantal ring
ASJC Scopus subject areas
- Algebra and Number Theory