Abstract
Let A be a ring with a simple right module M and D=End(MA). Let {θ1, θ2, θn} be a reduced set of skew derivations, where each i is a i-derivation of A satisfying ij=ji and ij=ji for all i, j. Let 1, m be distinct words of the form [image omitted], where each isp in the case of char(D)=p0. Let 1, be mutually M-independent automorphisms of A. Then for any D-independent elements x1, x2, xkM and any elements zijtM, there exists aA such that zijt=xiajt for all i=1, 2, k, j=1, 2, m, t=1, .
| Original language | English |
|---|---|
| Pages (from-to) | 1391-1413 |
| Number of pages | 23 |
| Journal | Communications in Algebra |
| Volume | 35 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2007 Apr 1 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
Cite this
}
Extended Jacobson density theorem for rings with skew derivations. / Chuang, Chen Lian; Liu, Cheng Kai.
In: Communications in Algebra, Vol. 35, No. 4, 01.04.2007, p. 1391-1413.Research output: Contribution to journal › Article
TY - JOUR
T1 - Extended Jacobson density theorem for rings with skew derivations
AU - Chuang, Chen Lian
AU - Liu, Cheng Kai
PY - 2007/4/1
Y1 - 2007/4/1
N2 - Let A be a ring with a simple right module M and D=End(MA). Let {θ1, θ2, θn} be a reduced set of skew derivations, where each i is a i-derivation of A satisfying ij=ji and ij=ji for all i, j. Let 1, m be distinct words of the form [image omitted], where each isp in the case of char(D)=p0. Let 1, be mutually M-independent automorphisms of A. Then for any D-independent elements x1, x2, xkM and any elements zijtM, there exists aA such that zijt=xiajt for all i=1, 2, k, j=1, 2, m, t=1, .
AB - Let A be a ring with a simple right module M and D=End(MA). Let {θ1, θ2, θn} be a reduced set of skew derivations, where each i is a i-derivation of A satisfying ij=ji and ij=ji for all i, j. Let 1, m be distinct words of the form [image omitted], where each isp in the case of char(D)=p0. Let 1, be mutually M-independent automorphisms of A. Then for any D-independent elements x1, x2, xkM and any elements zijtM, there exists aA such that zijt=xiajt for all i=1, 2, k, j=1, 2, m, t=1, .
UR - http://www.scopus.com/inward/record.url?scp=34247351189&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34247351189&partnerID=8YFLogxK
U2 - 10.1080/00927870601142207
DO - 10.1080/00927870601142207
M3 - Article
AN - SCOPUS:34247351189
VL - 35
SP - 1391
EP - 1413
JO - Communications in Algebra
JF - Communications in Algebra
SN - 0092-7872
IS - 4
ER -