论文标题
贝尔的重量模块 - 罗加尔斯基代数
Weight modules over Bell--Rogalski algebras
论文作者
论文摘要
我们研究了Bell and Rogalski引入的$ \ Mathbb {Z} $ - 分级代数。他们的构造在很大程度上概括了一条广义的Weyl代数（GWAS）。我们建立了这些代数的某些环理论特性，并研究了它们与GWAS的联系。我们对无限轨道案例中的简单重量模块进行了分类，并在有限顺序的情况下提供了部分分类。
We study a class of $\mathbb{Z}$-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.
