PRIME-RINGS WITH PI-RINGS OF CONSTANTS

Authors
KHARCHENKO VK KELLER J RODRIGUESROMO S
Citation
Vk. Kharchenko et al., PRIME-RINGS WITH PI-RINGS OF CONSTANTS, Israel Journal of Mathematics, 96, 1996, pp. 357-377
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
96
Year of publication
1996
Part
B
Pages
357 - 377
Database
ISI
SICI code
0021-2172(1996)96:<357:PWPOC>2.0.ZU;2-V
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 polynomia l identity (GPI). If additionally the ring of constants is semiprime t hen the original ring is PI. The case of a non-quasi-Frobenius inner p art is also considered.