Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Nilpotency of derivations. II


Authors: L. O. Chung and Jiang Luh
Journal: Proc. Amer. Math. Soc. 91 (1984), 357-358
MSC: Primary 16A72; Secondary 16A12
MathSciNet review: 744628
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The authors recently proved that for a semiprime ring without $ 2$-torsion, a nilpotent derivation must have odd nilpotency. In this paper, we show the intriguing phenomenon that for a semiprime ring with characteristic 2, the nilpotency of a nilpotent derivation must be of the form $ {2^n}$. Combining these two results, we show that for a general semiprime ring with no torsion condition, the nilpotency of a nilpotent derivation is either odd or a power of 2.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16A72, 16A12

Retrieve articles in all journals with MSC: 16A72, 16A12


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0744628-9
PII: S 0002-9939(1984)0744628-9
Keywords: Derivations, semiprime rings, nilpotency
Article copyright: © Copyright 1984 American Mathematical Society