GRADED MODULES OF GELFAND-KIRILLOV DIMENSION ONE OVER THREE-DIMENSIONAL ARTIN-SCHELTER REGULAR ALGEBRAS

摘要

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 (module 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. (C) 1997 Academic Press. [References: 9]