Abstract
Applying the extended Jacobson density theorem for rings with automorphisms and skew derivations, we characterize a generalized skew derivation of rings or Banach algebras so that the values of on a left ideal are nilpotent. The analogous results for -algebras and standard operator algebras on Banach spaces are also described.
| Original language | English |
|---|---|
| Pages (from-to) | 453-465 |
| Number of pages | 13 |
| Journal | Linear and Multilinear Algebra |
| Volume | 62 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2014 Apr 1 |
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All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras. / Liu, Cheng Kai; Chen, Hung Yuan; Liau, Pao Kuei.
In: Linear and Multilinear Algebra, Vol. 62, No. 4, 01.04.2014, p. 453-465.Research output: Contribution to journal › Article
TY - JOUR
T1 - Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras
AU - Liu, Cheng Kai
AU - Chen, Hung Yuan
AU - Liau, Pao Kuei
PY - 2014/4/1
Y1 - 2014/4/1
N2 - Applying the extended Jacobson density theorem for rings with automorphisms and skew derivations, we characterize a generalized skew derivation of rings or Banach algebras so that the values of on a left ideal are nilpotent. The analogous results for -algebras and standard operator algebras on Banach spaces are also described.
AB - Applying the extended Jacobson density theorem for rings with automorphisms and skew derivations, we characterize a generalized skew derivation of rings or Banach algebras so that the values of on a left ideal are nilpotent. The analogous results for -algebras and standard operator algebras on Banach spaces are also described.
UR - http://www.scopus.com/inward/record.url?scp=84897725842&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84897725842&partnerID=8YFLogxK
U2 - 10.1080/03081087.2013.780604
DO - 10.1080/03081087.2013.780604
M3 - Article
AN - SCOPUS:84897725842
VL - 62
SP - 453
EP - 465
JO - Linear and Multilinear Algebra
JF - Linear and Multilinear Algebra
SN - 0308-1087
IS - 4
ER -