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

Ashraf, Mohammad; Siddeeque, Mohammad Aslam;

Ashraf, Mohammad; Siddeeque, Mohammad Aslam;

Abstract

Posner's first theorem states that if R is a prime ring of characteristic different from two, and are derivations on R such that the iterate is also a derivation of R, then at least one of , 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

References

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