Families of Gorenstein and almost Gorenstein rings

Valentina Barucci, Marco D'Anna, Francesco Strazzanti

Starting with a commutative ring $R$ and an ideal $I$, it is possible to define a family of rings $R(I{)}_{a,b}$, with $a,b\in R$, as quotients of the Rees algebra $\oplus_{n \geq 0…