Construction of Auslander-Gorenstein local rings as Frobenius extensions

• Autorzy: Mitsuo Hoshino , Noritsugu Kameyama , Hirotaka Koga
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16E10: Homological dimension
• 16S35: Twisted and skew group rings, crossed products
• 16S50: Endomorphism rings; matrix rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 141
• Numer: 1
• Strony: 1-11

Daty

wydano

2015

Twórcy

autor

Mitsuo Hoshino

• Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki, 305-8571, Japan

autor

Noritsugu Kameyama

• Interdisciplinary Graduate School of, Science and Technology, Shinshu University, Nagano, 390-8621, Japan

autor

Hirotaka Koga

• School of Information Environment, Tokyo Denki University, Chiba, 270-1382, Japan

Identyfikatory

DOI

10.4064/cm141-1-1