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Left annihilators of power values of commutators with generalized derivations
-
Basudeb Dhara
Veröffentlicht/Copyright:
18. September 2012
Abstract.
Let R be a prime ring with its Utumi
ring of quotients U, 
the extended centroid of R, H
a generalized derivation of R and L a noncentral Lie ideal of
R. Suppose that there exists 
such that
for all 
, where 
is a fixed
integer. Then one of the following holds:
(i) There exists 
such that 
for all
, unless R satisfies s4.
(ii) 
, R satisfies s4 and there exists an element 
such that 
for all .
(iii) 
and R satisfies s4.
Received: 2010-11-06
Revised: 2011-10-19
Published Online: 2012-09-18
Published in Print: 2012-09-01
© 2012 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- The Plemelj–Privalov theorem in variable exponent Clifford analysis
- Almost everywhere convergence of a subsequence of logarithmic means of Fourier series on the group of 2-adic integers
- Identities and generating functions on Chebyshev polynomials
- Left annihilators of power values of commutators with generalized derivations
- On various classes of bitopological spaces
- On P-torsion modules over a pullback of two Dedekind domains
- A remark on a polynomial matrix factorization theorem
- Convergence of double Fourier series and generalized Λ-variation
- On monoids of monotone injective partial selfmaps of integers with cofinite domains and images
- On the boundedness of product kernel operators with measures
- A new class of generalized Hermite–Bernoulli polynomials
- Global nonexistence and stability of solutions of inverse problems for a class of Petrovsky systems
- Comment on the sums
Schlagwörter für diesen Artikel
Prime ring;
derivation;
generalized derivation;
extended centroid;
Utumi quotient ring
Artikel in diesem Heft
- Masthead
- The Plemelj–Privalov theorem in variable exponent Clifford analysis
- Almost everywhere convergence of a subsequence of logarithmic means of Fourier series on the group of 2-adic integers
- Identities and generating functions on Chebyshev polynomials
- Left annihilators of power values of commutators with generalized derivations
- On various classes of bitopological spaces
- On P-torsion modules over a pullback of two Dedekind domains
- A remark on a polynomial matrix factorization theorem
- Convergence of double Fourier series and generalized Λ-variation
- On monoids of monotone injective partial selfmaps of integers with cofinite domains and images
- On the boundedness of product kernel operators with measures
- A new class of generalized Hermite–Bernoulli polynomials
- Global nonexistence and stability of solutions of inverse problems for a class of Petrovsky systems
- Comment on the sums
