GRADED MODULES OF GELFAND-KIRILLOV DIMENSION ONE OVER 3-DIMENSIONAL ARTIN-SCHELTER REGULAR ALGEBRAS

Authors
VANGASTEL M VANDENBERGH M
Citation
M. Vangastel et M. Vandenbergh, GRADED MODULES OF GELFAND-KIRILLOV DIMENSION ONE OVER 3-DIMENSIONAL ARTIN-SCHELTER REGULAR ALGEBRAS, Journal of algebra, 196(1), 1997, pp. 251-282
Citations number
9
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of algebra → ACNP
ISSN journal
00218693
Volume
196
Issue
1
Year of publication
1997
Pages
251 - 282
Database
ISI
SICI code
0021-8693(1997)196:1<251:GMOGDO>2.0.ZU;2-B
Abstract
Let A be a three dimensional Artin-Schelter regular algebra. We give a description of the category of finitely generated A-modules of Gelfan d-Kirillov dimension one (module those of finite dimension over the gr ound field). The proof is based upon a result by Gabriel which says th at locally finite categories can be described by module categories ove r topological rings. (C) 1997 Academic Press.