# Posner's First Theorem for *-ideals in Prime Rings with Involution

• Received : 2014.12.05
• Accepted : 2016.03.11
• Published : 2016.06.23
• 14 23

#### Abstract

Posner's first theorem states that if R is a prime ring of characteristic different from two, $d_1$ and $d_2$ are derivations on R such that the iterate $d_1d_2$ is also a derivation of R, then at least one of $d_1$, $d_2$ is zero. In the present paper we extend this result to *-prime rings of characteristic different from two.

#### Keywords

Rings with involution;derivation;*-prime ring and *-ideal

#### References

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