A Study of *-Prime Rings with Derivations
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Authors: A. ABBASI, S. ALI, A. N. KHAN AND M. R. MOZUMDER
DOI: 10.46793/KgJMat2505.677A
Abstract:
This paper’s major goal is to describe the structure of the ∗-prime
ring, with the help of three different derivations α, β and γ such that α([s1, s∗
1]) +
[β(s1), β(s∗
1)] + [γ(s1), s∗
1] ∈ Z (χ) for all s1 ∈ χ. Further, some more related results
have also been discussed. As applications, classical theorems due to Bell-Daif [6]
and Herstein [12] are deduced.
Keywords:
Prime ring, involution, derivation, central identities.
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