Instituto de Investigación
en Matemáticas

Seminario
Seminario

Almost Gorenstein rings and further generalizations: the one-dimensional case.

Marco D'Anna (University of Catania)

Fecha: 30/09/2022 12:00
Lugar: Seminario IMUVA. Edificio LUCIA
Grupo: GIR SINGACOM

Abstract:
I will first present the class of almost Gorenstein rings, focusing on the one-dimensional case. This notion was introduced by Barucci and Froberg for algebroid curves and it has been recently generalized (by Goto and others) and widely studied for more general one-dimensional rings and, successively, in any dimension. In the one-dimensional case, other possible generalizations of Gorenstein and almost Gorenstein has been proposed; these classes are close to Gorenstein and almost Gorenstein rings under different aspects. I will describe one of this new classes, whose definition is motivated by the relationships between the properties of a local one-dimensional ring (R,m) and those of the R-algebra m:m.