PI degree parity in q-skew polynomial rings
| dc.creator | Haynal, Heidi | |
| dc.date | 2007-04-06 | |
| dc.date.accessioned | 2026-07-07T07:55:33Z | |
| dc.date.available | 2026-07-07T07:55:33Z | |
| dc.description | For k a field of arbitrary characteristic, and R a k-algebra, we show that the PI degree of an iterated skew polynomial ring R[x_1;τ_1,δ_1]...b[x_n;τ_n,δ_n] agrees with the PI degree of R[x_1;τ_1]...b[x_n;τ_n] when each (τ_i,δ_i) satisfies a q_i-skew relation for q_i \in k^{\times} and extends to a higher q_i-skew τ_i-derivation. We confirm the quantum Gel'fand-Kirillov conjecture for various quantized coordinate rings, and calculate their PI degrees. We extend these results to completely prime factor algebras. | |
| dc.description | 43 pages; Submitted to the Journal of Algebra | |
| dc.identifier | https://arxiv.org/abs/0704.0846 | |
| dc.identifier | http://arxiv.org/abs/0704.0846 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127005 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16R99; 81R50; 16S36; 16P40 | |
| dc.title | PI degree parity in q-skew polynomial rings | |
| dc.type | text |