Weight modules over Bell-Rogalski algebras

被引：0
|
作者：
Gaddis, Jason [1 ]
Rosso, Daniele [2 ]
Won, Robert [3 ]
机构：
[1] Miami Univ, Dept Math, Oxford, OH 45056 USA
[2] Indiana Univ Northwest, Dept Math & Actuarial Sci, Gary, IN 46408 USA
[3] George Washington Univ, Dept Math, Washington, DC 20052 USA
来源：
JOURNAL OF ALGEBRA | 2023年 / 633卷
关键词：
Graded algebra; Weight module; Generalized Weyl algebra; RINGS;
D O I：
10.1016/j.jalgebra.2023.06.017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a class of Z-graded algebras introduced by Bell and Rogalski. Their construction generalizes in large part that of rank one generalized Weyl algebras (GWAs). We establish certain ring-theoretic properties of these algebras and study their connection to GWAs. We classify the simple weight modules in the infinite orbit case and provide a partial classification in the case of orbits of finite order. & COPY; 2023 Elsevier Inc. All rights reserved.
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页码：270 / 297
页数：28
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