Graded polynomial identities and exponential growth
| dc.creator | Aljadeff, Eli | |
| dc.creator | Giambruno, Antonio | |
| dc.creator | La Mattina, Daniela | |
| dc.date | 2009-03-10 | |
| dc.date.accessioned | 2026-07-07T12:51:33Z | |
| dc.date.available | 2026-07-07T12:51:33Z | |
| dc.description | Let A be a finite dimensional algebra over a field of characteristic zero graded by a finite abelian group G. Here we study a growth function related to the graded polynomial identities satisfied by A by computing the exponential rate of growth of the sequence of graded codimensions of A. We prove that the G-exponent of A exists and is an integer related in an explicit way to the dimension of a suitable semisimple subalgebra of A. | |
| dc.identifier | https://arxiv.org/abs/0903.1860 | |
| dc.identifier | http://arxiv.org/abs/0903.1860 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223026 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16R10, 16W50, 16P90 | |
| dc.title | Graded polynomial identities and exponential growth | |
| dc.type | text |