43 citations · 202 across the 61 of their papers we have counts for
65 papers · 1 filter
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…
Reflexive modules over the endomorphism algebras of reflexive trace ideals
Naoki Endo, Shiro Goto
In the present paper we investigate reflexive modules over the endomorphism algebras of reflexive trace ideals in a one-dimensional Cohen-Macaulay local ring. The main theorem gene…
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…
On the weakly Arf -ifications of Noetherian rings
Naoki Endo, Shiro Goto, Shin-ichiro Iai +1
The weakly Arf -ification of a commutative Noetherian ring is considered to be a birational extension which is good next to the normalization. The weakly Arf property (W…
When are the rings Gorenstein?
Naoki Endo, Shiro Goto, Shin-ichiro Iai +1
Let be an ideal of a -dimensional Noetherian local ring with , containing a non-zerodivisor. The problem of when the ring $I:I=\oper…
A criterion for reflexivity of modules
Naoki Endo, Shiro Goto
Let be a finitely generated module over a ring . With certain mild assumptions on , it is proven that is a reflexive -module, once as a -module…