MMN-1089

On certain differential identities in prime rings with involution

Abstract

In the present paper we investigate commutativity of $*$-prime ring $R$, which satisfies certain differential identities on $*$-ideals of $R$. Some results already known for prime rings on ideals have also been deduced. Finally, we provide several examples to justify that various restrictions imposed in the hypotheses of our theorems are not superfluous.


Vol. 16 (2015), No. 1, pp. 33-44
DOI: https://doi.org/10.18514/MMN.2015.1089


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