9 citations · 11 across the 4 of their papers we have counts for
4 papers
Some classes of one-dimensional rings characterized by their reflexive ideals
Pietro Campochiaro, Marco D'Anna, Francesco Strazzanti
We study reflexive ideals in one-dimensional Cohen-Macaulay local rings, providing characterizations of almost Gorenstein rings, rings with minimal multiplicity, and Arf rings, whi…
On nearly Gorenstein affine semigroups
Raheleh Jafari, Francesco Strazzanti, Santiago Zarzuela Armengou
We describe the canonical module of a simplicial affine semigroup ring and its trace ideal. As a consequence, we characterize when is nearly Gorenst…
On the notion of sequentially Cohen-Macaulay modules
Giulio Caviglia, Alessandro De Stefani, Enrico Sbarra +1
In this survey paper we first present the main properties of sequentially Cohen-Macaulay modules. Some basic examples are provided to help the reader with quickly getting acquainte…
A family of quotients of the Rees algebra
Valentina Barucci, Marco D'Anna, Francesco Strazzanti
A family of quotient rings of the Rees algebra associated to a commutative ring is studied. This family generalizes both the classical concept of idealization by Nagata and a more…