Rings graded equivalent to the Weyl algebra
| dc.creator | Sierra, Susan J. | |
| dc.date | 2007-11-09 | |
| dc.date | 2008-12-16 | |
| dc.date.accessioned | 2026-07-07T12:12:34Z | |
| dc.date.available | 2026-07-07T12:12:34Z | |
| dc.description | We consider the first Weyl algebra, A, in the Euler gradation, and completely classify graded rings B that are graded equivalent to A: that is, the categories gr-A and gr-B are equivalent. This includes some surprising examples: in particular, we show that A is graded equivalent to an idealizer in a localization of A. We obtain this classification as an application of a general Morita-type characterization of equivalences of graded module categories. | |
| dc.description | 38 pages; minor changes to final published version | |
| dc.identifier | https://arxiv.org/abs/0711.1494 | |
| dc.identifier | http://arxiv.org/abs/0711.1494 | |
| dc.identifier | Journal of Algebra 321 (2009), pp. 495-531 | |
| dc.identifier | doi:10.1016/j.jalgebra.2008.10.011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210583 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W50; 16D90 | |
| dc.title | Rings graded equivalent to the Weyl algebra | |
| dc.type | text |