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.

引用

页码：270 / 297

页数：28

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