A NOTE ON SKEW DERIVATIONS IN PRIME RINGS

Title & Authors
A NOTE ON SKEW DERIVATIONS IN PRIME RINGS
De Filippis, Vincenzo; Fosner, Ajda;

Abstract
Let m, n, r be nonzero fixed positive integers, R a 2-torsion free prime ring, Q its right Martindale quotient ring, and L a non-central Lie ideal of R. Let D : $\small{R{\rightarrow}R}$ be a skew derivation of R and \$E(x)
Keywords
skew derivation;automorphism;prime ring;
Language
English
Cited by
References
1.
K. I. Beidar, W. S. Martindale III, and A. V. Mikhalev, Rings with Generalized Identities, Pure and Applied Math., Dekker, New York, 1996.

2.
C.-L. Chuang, GPIs having coefficients in Utumi quotient rings, Proc. Amer. Math. Soc. 103 (1988), no. 3, 723-728.

3.
C.-L. Chuang, Differential identities with automorphisms and antiautomorphisms I, J. Algebra 149 (1992), no. 2, 371-404.

4.
C.-L. Chuang, Differential identities with automorphisms and antiautomorphisms II, J. Algebra 160 (1993), no. 1, 130-171.

5.
C.-L. Chuang and T.-K. Lee, Identities with a single skew derivation, J. Algebra 288 (2005), no. 1, 59-77.

6.
B. Dhara, V. De Filippis, and R. K. Sharma, Generalized derivations and left multipliers on Lie ideals, Aequationes Math. 81 (2011), 251-261.

7.
O. M. Di Vincenzo, A note on k-th commutators in an associative ring, Rend. Circ. Mat. Palermo (2) 47 (1998), no. 1, 106-112.

8.
V. K. Harcenko, Generalized identities with automorphisms, Algebra i Logika 14 (1975), no. 2, 215-237.

9.
N. Jacobson, Structure of Rings, Amer. Math. Soc., Providence, 1964.

10.
C. Lanski, Differential identities, Lie ideals, and Posner's theorems, Pacific J. Math. 134 (1988), no. 2, 275-297.

11.
T.-K. Lee and K.-S. Liu, Generalized skew derivations with algebraic values of bounded degree, preprint.

12.
W. S. Martindale III, Prime rings satisfying a generalized polynomial identity, J. Algebra 12 (1969), 576-584.