Prime rings with PI rings of constants
alg-geom
2008-02-03 v1 Algebraic Geometry
Quantum Algebra
q-alg
Abstract
It is shown that if the ring of constants of a restricted differential Lie algebra with a quasi-Frobenius inner part satisfies a polynomial identity (PI) then the original prime ring has a generalized polynomial identitiy (GPI). If additionally the ring of constants is semiprime then the original ring is PI. The case of a non-quasi-Frobenius inner part is also considered.
Keywords
Cite
@article{arxiv.alg-geom/9610017,
title = {Prime rings with PI rings of constants},
author = {V. K. Kharchenko and J. Keller and S. Rodriguez-Romo},
journal= {arXiv preprint arXiv:alg-geom/9610017},
year = {2008}
}
Comments
20 pages, LaTex2e, to appear in Israel Journal of Mathematics, volume 96, part B, 1996 (357-377)