Authors
Citation
P. Grzeszczuk, CONSTANTS OF ALGEBRAIC DERIVATIONS, Communications in algebra, 21(6), 1993, pp. 1857-1868
Citations number
7
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00927872
Volume
21
Issue
6
Year of publication
1993
Pages
1857 - 1868
Database
ISI
SICI code
0092-7872(1993)21:6<1857:COAD>2.0.ZU;2-I
Abstract
Let d be a nilpotent derivation of a semiprime ring R. It is proved th
at the subring of constants R(d) = {r is-an-element-of R \ d(r) = 0} i
s non-nilpotent. The result is applied to algebraic derivations of sem
iprime algebras and to the actions of certain finite dimensional Lie a
lgebras on semiprime associative algebras.