Construction of Auslander-Gorenstein local rings as Frobenius extensions
Mitsuo Hoshino; Noritsugu Kameyama; Hirotaka Koga
Colloquium Mathematicae (2015)
- Volume: 141, Issue: 1, page 1-11
- ISSN: 0010-1354
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topMitsuo Hoshino, Noritsugu Kameyama, and Hirotaka Koga. "Construction of Auslander-Gorenstein local rings as Frobenius extensions." Colloquium Mathematicae 141.1 (2015): 1-11. <http://eudml.org/doc/286341>.
@article{MitsuoHoshino2015,
abstract = {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.},
author = {Mitsuo Hoshino, Noritsugu Kameyama, Hirotaka Koga},
journal = {Colloquium Mathematicae},
keywords = {Auslander-Gorenstein ring; Frobenius extension; group-graded ring},
language = {eng},
number = {1},
pages = {1-11},
title = {Construction of Auslander-Gorenstein local rings as Frobenius extensions},
url = {http://eudml.org/doc/286341},
volume = {141},
year = {2015},
}
TY - JOUR
AU - Mitsuo Hoshino
AU - Noritsugu Kameyama
AU - Hirotaka Koga
TI - Construction of Auslander-Gorenstein local rings as Frobenius extensions
JO - Colloquium Mathematicae
PY - 2015
VL - 141
IS - 1
SP - 1
EP - 11
AB - 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.
LA - eng
KW - Auslander-Gorenstein ring; Frobenius extension; group-graded ring
UR - http://eudml.org/doc/286341
ER -
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