On a certain functional identity in prime rings

Communications in Algebra

Volumn 26, Issue 11, 1998, Pages 3765-3781

  Brešar, Matej ^a   Chebotar, M A ^b  

^a UNIVERSITY OF MARIBOR   (Slovenia)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347696039     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879808826373     Document Type: Article

References (12)

1. K. I. Beidar, On functional identities and commuting additive mappings, submitted.
2. K. I. Beidar, W. S. Martindale 3rd and A. V. Mikhalev, Lie isomorphisms in prime rings with involution, J. Algebra 169 (1994), 304-327.
3. K. I. Beidar, W. S. Martindale 3rd and A. V. Mikhalev, Rings with Generalized Identities, Marcel Dekker, Inc., New York - Basel - Hong Kong, 1996.
4. M. Brešar, Centralizing mappings and derivations in prime rings, J. Algebra 156 (1993), 385-394.
5. M. Brešar, Commuting traces of biadditive mappings, commutativity preserving mappings, and Lie mappings, Trans. Amer. Math. Soc. 335 (1993), 525-546.
6. M. Brešar, Functional identities of degree two, J. Algebra 172 (1995), 690-720.
7. M. Brešar, On generalized biderivations and related maps, J. Algebra 172 (1995), 764-786.
8. M.A. Chebotar, On generalized functional identities in prime rings, J. Algebra, to appear.
9. W.S. Martindale 3rd, Prime rings satisfying a generalized polynomial identity, J. Algebra 12 (1969), 576-584.
10. J. C. McConell, J. C. Robson, Noncommutative Noetherian rings, John Wiley and Sons, Chichester - New York - Brisbane - Toronto - Singapure, 1987.
11. E. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 79-92.
12. G. A. Swain, Lie derivations of the skew elements of prime rings with involution, J. Algebra 184 (1996), 679-704.