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Nearly Gorenstein cyclic quotient singularities
Alessio Caminata, Francesco Strazzanti
We investigate the nearly Gorenstein property among -dimensional cyclic quotient singularities , where is an algebraically closed field and $G\…
When is an almost Gorenstein ring?
Marco D'Anna, Francesco Strazzanti
Given a one-dimensional Cohen-Macaulay local ring , we prove that it is almost Gorenstein if and only if is a canonical module of the ring $\math…
Almost canonical ideals and GAS numerical semigroups
Marco D'Anna, Francesco Strazzanti
We propose the notion of GAS numerical semigroup which generalizes both almost symmetric and 2-AGL numerical semigroups. Moreover, we introduce the concept of almost canonical idea…
Nearly Gorenstein vs almost Gorenstein affine monomial curves
Alessio Moscariello, Francesco Strazzanti
We extend some results on almost Gorenstein affine monomial curves to the nearly Gorenstein case. In particular, we prove that the Cohen-Macaulay type of a nearly Gorenstein monomi…
The Hilbert-Kunz function of some quadratic quotients of the Rees algebra
Francesco Strazzanti, Santiago Zarzuela Armengou
Given a commutative local ring and an ideal of , a family of quotients of the Rees algebra has been recently studied as a unified approach to the N…