Displaying similar documents to “On the Gorenstein property of the associated graded Ring of a power of an ideal.”

Construction of Auslander-Gorenstein local rings as Frobenius extensions

Mitsuo Hoshino, Noritsugu Kameyama, Hirotaka Koga (2015)

Colloquium Mathematicae

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Starting from an arbitrary ring R we provide a systematic construction of ℤ/nℤ-graded rings A which are Frobenius extensions of R, and show that under mild assumptions, A is an Auslander-Gorenstein local ring if and only if so is R.

On the structure of the canonical model of the Rees algebra and the associated graded ring of an ideal.

Santiago Zarzuela (1992)

Publicacions Matemàtiques

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In this note we give a description of a morphism related to the structure of the canonical model of the Rees algebra R(I) of an ideal I in a local ring. As an application we obtain Ikeda's criteria for the Gorensteinness of R(I) and a result of Herzog-Simis-Vasconcelos characterizing when the canonical module of R(I) has the expected form.