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Some characterizations of Gorenstein Rees Algebras
Shin-ichiro Iai
The aim of this paper is to elucidate the relationship between the Gorenstein Rees algebra of an ideal in a complete Noetherian local ring an…
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…
Gorensteinness in Rees algebras of powers of parameter ideals
Shiro Goto, Shin-ichiro Iai
This paper gives a necessary and sufficient condition for Gorensteinness in Rees algebras of the -th power of parameter ideals in certain Noetherian local rings of dimension $d\…
Ulrich ideals in the ring
Naoki Endo, Shiro Goto, Shin-ichiro Iai +1
The Ulrich ideals in the semigroup rings and are determined, by describing the normal forms of systems of generators, where denotes t…