Construction of Auslander-Gorenstein local rings as Frobenius extensions
Mitsuo Hoshino ; Noritsugu Kameyama ; Hirotaka Koga
Colloquium Mathematicae, Tome 139 (2015), p. 1-11 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:286341 
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Mitsuo Hoshino; Noritsugu Kameyama; Hirotaka Koga. Construction of Auslander-Gorenstein local rings as Frobenius extensions. Colloquium Mathematicae, Tome 139 (2015) pp. 1-11. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm141-1-1/