English

On the almost Gorenstein property of determinantal rings

Commutative Algebra 2017-02-27 v2

Abstract

In this paper we investigate the question of when the determinantal ring RR over a field kk 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 RR is a non-Gorenstein almost Gorenstein local/graded ring, then the ring RR has a minimal multiplicity.

Keywords

Cite

@article{arxiv.1701.06690,
  title  = {On the almost Gorenstein property of determinantal rings},
  author = {Naoki Taniguchi},
  journal= {arXiv preprint arXiv:1701.06690},
  year   = {2017}
}

Comments

14 pages