Jordan derivations on rings-Reference-Cited by-同舟云学术

Jordan derivations on rings

Published:1975 Issue:2 Volume:53 Page:321-324
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cusack J. M.

Abstract

I. N. Herstein has shown that every Jordan derivation on a prime ring not of charactetistic 2 2 is a derivation. This result is extended in this paper to the case of any ring in which 2 x = 0 2x = 0 implies x = 0 x = 0 and which is semiprime or which has a commutator which is not a zero divisor.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-053-02/S0002-9939-1975-0399182-5/S0002-9939-1975-0399182-5.pdf

Reference6 articles.

1. Jordan derivations of prime rings;Herstein, I. N.;Proc. Amer. Math. Soc.,1957

2. American Mathematical Society Colloquium Publications, Vol. 37;Jacobson, Nathan,1956

3. Jordan homomorphisms of rings;Jacobson, N.;Trans. Amer. Math. Soc.,1950

Cited by 100 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Commuting Jordan Derivations on Triangular Rings Are Zero;Mathematical Notes;2024-06

2. Additive mappings on von Neumann algebras acting as Lie triple centralizer via local actions and related mappings;Acta Scientiarum Mathematicarum;2024-03-21

3. An extension of Herstein's theorem on Banach algebra;AIMS Mathematics;2024

4. Characterization of $ (\alpha, \beta) $ Jordan bi-derivations in prime rings;AIMS Mathematics;2024

5. Higher Jordan triple derivations on $ * $-type trivial extension algebras;AIMS Mathematics;2024