2 papers
math.AC2026
On generalized Gorenstein local rings
Shiro Goto, Shinya Kumashiro
In this paper, we introduce generalized Gorenstein local (GGL) rings. The notion of GGL rings is a natural generalization of the notion of almost Gorenstein rings, which can thus b…
math.AC2026
Normality of Ideals and Modules
Naoki Endo, Shiro Goto, Jooyoun Hong +1
We investigate when the Rees algebra of an integrally closed -primary ideal in a regular local ring is a Cohen-Macaulay normal domain. While this property always hold…