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On n-Jordan derivations in the sense of Herstein by Mehdi Rostami; Ahmad Alinejad; Hamid Khodaei is a Mathematics article available to read on EtoBox.

What is On n-Jordan derivations in the sense of Herstein about?

We prove that every n-Jordan derivation in the sense of Herstein (Bull Am Math Soc 67:517-531, 1961, p. 528) on n!-torsion free unital commutative rings is a derivation. Furthermore, we prove that every continuous n-Jordan derivation on semiprime normed algebras is a derivation. The results of this paper improve and generalize the main results of Bridges and Bergen (Proc Am Math Soc 90:25-29, 1984), but under weaker assumptions. Some applications and examples of our results are also provided.

Who reads On n-Jordan derivations in the sense of Herstein?

Author

Mehdi Rostami; Ahmad Alinejad; Hamid Khodaei

Publisher

Springer Science and Business Media LLC

Published

2023

Language

EN

Field

Mathematics (Physical Sciences)