On additive maps of prime rings satisfying the engel condition

Communications in Algebra

Volumn 25, Issue 12, 1997, Pages 3889-3902

  Beidar, K I ^a   Fong, Y ^a   Lee, P H ^b   Wong, T L ^b  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944456256     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879708826093     Document Type: Article

References (25)

1. K. I. Beidar, Rings with generalized identities, III, Moscow Univ. Math. Bull., 33(4) (1978), 53-58.
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. H. E. Bell and Q. Deng, On derivations and commutativity in semiprime rings, Comm. Algebra, 23 (1995), 3705-3713.
5. H. E. Bell and W. S. Martindale 3rd, Centralizing mappings of semiprime rings. Canad. Math. Bull. 30 (1987), 92-101.
6. M. Brešar, On a generalization of the notion of centralizing mappings. Proc. Amer. Math. Soc. 114 (1992), 641-649.
7. M. Brešar, On skew-commuting mappings of rings. Bull. Austral. Math. Soc. 47 (1993), 291-296.
8. M. Brešar, Centralizing mappings and derivations in prime rings, J. Algebra, 156 (1993), 385-394.
9. M. Brešar, On generalized biderivations and related maps. J. Algebra 172 (1995), 764-786.
10. M. Brešar, Applying the theorem on functional identities, Nova J. Math., Game Theory, and Algebra, 4 (1995), N 1, 43-54.
11. M. Brešar and B. Hvala, On additive maps of prime rings, Bull. Austral. Math. Soc., 51 (1995), 377-381.
12. M. Brešar, W. S. Martindale 3rd, and C. R. Miers, Centralizing maps in prime rings with involution. J. Algebra 161 (1993), 342-357.
13. C. L. Chuang, Hypercentral derivations, J. Algebra 166 (1994), 34-71.
14. C. Lanski, Differential identities, Lie ideals, and Posner's theorems. Pacific J. Math. 134 (1988), 275-297.
15. C. Lanski, Lie ideals and central polynomials with derivations. Canad. J. Math. 44 (1992), 553-560.
16. C. Lanski, An Engel condition with derivation. Proc. Amer. Math. Soc. 118 (1993), 731-734.
17. P. H. Lee and T. K. Lee, On derivations of prime rings. Chinese J. Math. 9 (1981), 107-110.
18. P. H. Lee and T. K. Lee, Lie ideals of prime rings with derivations. Bull. Inst. Math. Acad. Sinica 11 (1983), 75-80.
19. T. K. Lee, Semiprime rings with hypercentral derivations. Canad. Math. Bull. 38 (1995), 445-449.
20. T. K. Lee, Commuting additive mappings in semiprime rings. Bull. Inst. Math. Acad. Sinica, to appear.
21. T. K. Lee, A characterization of left ideals satisfying polynomial identities. Chinese J. Math., to appear.
22. W. S. Martindale 3rd, Prime rings satisfying a generalized polynomial identity, J. Algebra 12 (1969), 576-584.
23. J. H. Mayne, Centralizing automorphisms of prime rings. Canad. Math. Bull. 19 (1976), 113-115.
24. J. H. Mayne, Centralizing automorphisms of Lie ideals in prime rings. Canad. Math. Bull. 35 (1992), 510-514.
25. E. Posner, Derivations in prime rings. Proc. Amer. Math. Soc. 8 (1957), 79-92.