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.

 

An Engel condition with derivation
HTML articles powered by AMS MathViewer

by Charles Lanski PDF
Proc. Amer. Math. Soc. 118 (1993), 731-734 Request permission

Abstract:

Let $R$ be a prime ring, $L$ a noncommutative Lie ideal of $R$, and $D$ a nonzero derivation of $R$. If for each $x \in L$, ${[D(x),x]_k} = [[ \cdots [D(x),x],x], \ldots ,x] = 0$ with $k$ fixed, then $\operatorname {char} (R) = 2$ and $R \subseteq {M_2}(F)$ for $F$ a field.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16W25, 16N60
  • Retrieve articles in all journals with MSC: 16W25, 16N60
Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 118 (1993), 731-734
  • MSC: Primary 16W25; Secondary 16N60
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1132851-9
  • MathSciNet review: 1132851