Nilpotency of derivations. II
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- by L. O. Chung and Jiang Luh PDF
- Proc. Amer. Math. Soc. 91 (1984), 357-358 Request permission
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
- L. O. Chung and Jiang Luh, Nilpotency of derivations, Canad. Math. Bull. 26 (1983), no. 3, 341–346. MR 703409, DOI 10.4153/CMB-1983-057-5
- L. O. Chung and Jiang Luh, Nilpotency of derivatives on an ideal, Proc. Amer. Math. Soc. 90 (1984), no. 2, 211–214. MR 727235, DOI 10.1090/S0002-9939-1984-0727235-3
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 357-358
- MSC: Primary 16A72; Secondary 16A12
- DOI: https://doi.org/10.1090/S0002-9939-1984-0744628-9
- MathSciNet review: 744628