Hostname: page-component-848d4c4894-4rdrl Total loading time: 0 Render date: 2024-07-05T01:55:38.117Z Has data issue: false hasContentIssue false
  • English
  • Français

Nilpotency of Derivations

Published online by Cambridge University Press:  20 November 2018

L. O. Chung  and
Jiang Luh
L. O. Chung
Affiliation:
Department of Mathematics North Carolina State University, Raleigh, North Carolina 27650
Jiang Luh
Affiliation:
Department of Mathematics North Carolina State University, Raleigh, North Carolina 27650
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It is shown that the nilpotency of a derivation on a 2-torsion free semiprime ring is always an odd number. Examples are provided to show the necessity of the assumptions.

Keywords

16A7216A12Derivationsemiprime ringsnilpotency
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 3 , 01 September 1983 , pp. 341 - 346
Copyright
Copyright © Canadian Mathematical Society 1983

References

1. Chung, L. O., Kavas, A. and Luh, J., Derivations satisfying a polynomial identity, in preparation.Google Scholar
2. Gould, H. W., Combinatorial Identities, revised ed., Morgantown, W. Va., 1972.Google Scholar
3. Herstein, I. N., Sui commutatori degli anelli semlici, Rendiconti Semi. Milano 33 (1963), 3-9.Google Scholar
4. Fine, N. J., Bionomial coefficients modulo a prime, Amer. Math. Monthly 54 (1947), 589-592.Google Scholar
5. Kharchernko, V. K., Differential identities of prime rings, Algebra i Logika 17 (1978), 220-238.Google Scholar
6. Lucas, E., Théorie des Nombres, Paris 1891.Google Scholar
7. Posner, E., Derivations in prime rings, Proc. AMS 8 (1957), 1093-1100.Google Scholar