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Construction of Auslander-Gorenstein local rings as Frobenius extensions

Mitsuo Hoshino; Noritsugu Kameyama; Hirotaka Koga — 2015

Colloquium Mathematicae

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.

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