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SOME DIFFERENTIAL IDENTITIES WITH f DERIVATIONS ON PRIME RINGS
Keywords:
derivation, f-derivation, ring, prime ringDOI:
https://doi.org/10.17654/0972555522029Abstract
In this paper, we show that if a prime ring R satisfies certain differential identities involving an f-derivation d on a nonzero ideal of R, then d is a zero map on R. Moreover, we investigate commutativity of a prime ring R, which satisfies certain differential identities on a nonzero ideal of R.
Received: June 2, 2022
Revised: July 21, 2022
Accepted: August 3, 2022
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