Nearly Gorenstein local rings defined by maximal minors of a 2 × n matrix

Abstract

We investigate the nearly Gorenstein property of a local ring defined by the maximal minors of a specific 2 × n matrix with entries in the formal power series ring k[[X1，X2，．．．，Xn]] over a field k．Our findings allow us to present numerous concrete examples, such as nearly Gorenstein rings that are not almost Gorenstein and vice versa．International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.journal articl