Graded Modules of Gelfand–Kirillov Dimension One over Three-Dimensional Artin–Schelter Regular Algebras
Graded Modules of Gelfand–Kirillov Dimension One over Three-Dimensional Artin–Schelter Regular Algebras
复制标题
Gelfand-Kirilov 一维除三维 Artin-Schelter 正则代数的分级模
DOI：
10.1006/jabr.1997.7072
复制
发表时间：
1997
影响因子：
0.9
通讯作者：
M. Bergh
中科院分区：
文献类型：
--
作者：
M. V. Gastel;M. Bergh
设A是三维Artin-Schelter正则代数。本文给出了基域上Gelfand-Kirillov维数为1（模为有限维）的n-生成A -模范畴的刻划.证明是基于一个结果加布里埃尔说，局部有限范畴可以描述的模范畴拓扑环。
Abstract Let A be a three dimensional Artin–Schelter regular algebra. We give a description of the category of finitely generated A -modules of Gelfand–Kirillov dimension one (modulo those of finite dimension over the ground field). The proof is based upon a result by Gabriel which says that locally finite categories can be described by module categories over topological rings.