Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Nilpotency of derivatives on an ideal
HTML articles powered by AMS MathViewer

by L. O. Chung and Jiang Luh PDF
Proc. Amer. Math. Soc. 90 (1984), 211-214 Request permission

Abstract:

Let $R$ be a prime ring and $\partial$ a derivation of $R$. It is shown that if ${\partial ^m}I = (0)$ for some nonzero ideal $I$ in $R$, then ${\partial ^m}R = (0)$.
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
    • —, Nilpotency of derivations. II (to appear). L. O. Chung, A. Kovacs and J. Luh, Algebraic derivations of prime rings, preprint.
  • I. N. Herstein, Rings with involution, Chicago Lectures in Mathematics, University of Chicago Press, Chicago, Ill.-London, 1976. MR 0442017
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
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 211-214
  • MSC: Primary 16A72; Secondary 16A12
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0727235-3
  • MathSciNet review: 727235