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

• Journal title : Kyungpook mathematical journal
• Volume 56, Issue 2,  2016, pp.343-347
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2016.56.2.343
Title & Authors
Posner's First Theorem for *-ideals in Prime Rings with Involution

Abstract
Posner's first theorem states that if R is a prime ring of characteristic different from two, $\small{d_1}$ and $\small{d_2}$ are derivations on R such that the iterate $\small{d_1d_2}$ is also a derivation of R, then at least one of $\small{d_1}$, $\small{d_2}$ 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;
Language
English
Cited by
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