|
Posner's second theorem deduced from the first
Author:
Martin Mathieu
Journal:
Proc. Amer. Math. Soc. 114 (1992), 601-602
MSC:
Primary 16W25; Secondary 16U80
MathSciNet review:
1075948
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: Posner's second theorem is derived as a consequence of his first theorem.
- [1]
Mansoor
Ahmad, On a theorem of Posner, Proc. Amer. Math. Soc. 66 (1977), no. 1, 13–16. MR 0447348
(56 #5661), http://dx.doi.org/10.1090/S0002-9939-1977-0447348-X
- [2]
Ram
Awtar, On a theorem of Posner, Proc. Cambridge Philos. Soc.
73 (1973), 25–27. MR 0318236
(47 #6783)
- [3]
H.
E. Bell and W.
S. Martindale III, Centralizing mappings of semiprime rings,
Canad. Math. Bull. 30 (1987), no. 1, 92–101. MR 879877
(88h:16044), http://dx.doi.org/10.4153/CMB-1987-014-x
- [4]
Charles
Lanski, Differential identities, Lie ideals, and Posner’s
theorems, Pacific J. Math. 134 (1988), no. 2,
275–297. MR
961236 (89j:16051)
- [5]
Edward
C. Posner, Derivations in prime rings,
Proc. Amer. Math. Soc. 8 (1957), 1093–1100. MR 0095863
(20 #2361), http://dx.doi.org/10.1090/S0002-9939-1957-0095863-0
- [1]
- M. Ahmad, On a theorem ofPosner, Proc. Amer. Math. Soc. 66 (1977), 13-16. MR 0447348 (56:5661)
- [2]
- R. Awtar, On a theorem ofPosner, Proc. Cambridge Phil. Soc. 73 (1973), 25-27. MR 0318236 (47:6783)
- [3]
- H. E. Bell and W. S. Martindale, Centralizing mappings of semiprime rings, Canad. Math. Bull. 30 (1987), 92-101. MR 879877 (88h:16044)
- [4]
- C. Lanski, Differential identities, Lie ideals, and Posner's theorems, Pacific J. Math. 134 (1988), 275-297. MR 961236 (89j:16051)
- [5]
- E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093-1100. MR 0095863 (20:2361)
Similar Articles
Retrieve articles in Proceedings of the American Mathematical Society
with MSC:
16W25,
16U80
Retrieve articles in all journals
with MSC:
16W25,
16U80
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1992-1075948-3
PII:
S 0002-9939(1992)1075948-3
Keywords:
Prime ring,
centralizing derivation
Article copyright:
© Copyright 1992 American Mathematical Society
|