“…On the other hand, nearly Gorenstein rings, which are the object of interest of this paper, have been introduced even more recently by Herzog, Hibi, and Stamate [HHS19] in 2019. Nevertheless, they have already been studied in several contexts, such as zero-dimensional schemes [KLL19], affine semigroup rings [HJS19], and affine monomial curves [MS20]. See also [EGI19,DKT20,Kob20,Rah20] for other related results.…”