ALGEBRAS IN WHICH EVERY SUBALGEBRA IS NOETHERIAN

被引：4
|
作者：
Rogalski, D. [1 ]
Sierra, S. J. [2 ]
Stafford, J. T. [3 ]
机构：
[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
[2] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland
[3] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 09期
基金：
美国国家科学基金会;
关键词：
Noetherian ring; twisted homogeneous coordinate ring; Sklyanin algebra; supernoetherian ring; PROJECTIVE SURFACES; DIMENSION-3; DOMAINS; CURVES; RINGS;
D O I：
10.1090/S0002-9939-2014-12052-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the twisted homogeneous coordinate rings of elliptic curves by infinite order automorphisms have the curious property that every subalgebra is both finitely generated and noetherian. As a consequence, we show that a localisation of a generic Skylanin algebra has the same property.
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页码：2983 / 2990
页数：8
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