Construction of Auslander&amp;#8211;Gorenstein local
 rings as Frobenius extensions

Mitsuo Hoshino; Noritsugu Kameyama; Hirotaka Koga

doi:10.4064/cm141-1-1

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

Construction of Auslander–Gorenstein local rings as Frobenius extensions

Tom 141 / 2015

Mitsuo Hoshino, Noritsugu Kameyama, Hirotaka Koga Colloquium Mathematicum 141 (2015), 1-11 MSC: Primary 16S35, 16S50; Secondary 16E10. DOI: 10.4064/cm141-1-1

Streszczenie

Starting from an arbitrary ring $R$ we provide a systematic construction of $\mathbb {Z}/n\mathbb {Z}$ -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 $R$ .

Autorzy

Mitsuo HoshinoInstitute of Mathematics
University of Tsukuba
Tsukuba, Ibaraki, 305-8571, Japan
e-mail
Noritsugu KameyamaInterdisciplinary Graduate School of
Science and Technology
Shinshu University
Nagano, 390-8621, Japan
e-mail
Hirotaka KogaSchool of Information Environment
Tokyo Denki University
Chiba, 270-1382, Japan
e-mail

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