Artinian property of constants of algebraic q-skew derivations

Authors
Grzeszczuk, P Leroy, A Matczuk, J
Citation
P. Grzeszczuk et al., Artinian property of constants of algebraic q-skew derivations, ISR J MATH, 121, 2001, pp. 265-284
Citations number
11
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
121
Year of publication
2001
Pages
265 - 284
Database
ISI
SICI code
0021-2172(2001)121:<265:APOCOA>2.0.ZU;2-D
Abstract
Let delta denote a q-skew sigma -derivation of an algebra R and R-(delta) = {r is an element of R \ delta (r) = 0} stand for the subalgebra of invariants. We prove that RM is left artinian i ff R is left artinian provided R is semiprime and the action of delta on R is algebraic.