Some Remarks on Differential Identities in Rings
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Authors: M. A. RAZA, H. ALHAZMI AND S. ALI
DOI: 10.46793/KgJMat2102.259R
Abstract:
Let 1 < k and m,k ∈ ℤ+. In this manuscript, we analyse the action of (semi)-prime rings satisfying certain differential identities on some suitable subset of rings. To be more specific, we discuss the behaviour of the semiprime ring ℛ satisfying the differential identities ([d([s,t]m), [s,t]m])k = [d([s,t]m), [s,t]m] for every s,t ∈ℛ.
Keywords:
(Semi)-prime ring, derivation, Engel polynomial, maximal right ring of quotients, generalized polynomial identity (GPI).
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