We extend the domain of applicability of the concept of $(1, \alpha)$-derivations in $3$-prime near-rings by analyzing the structure and commutativity of near-rings admitting $(1, \alpha)$-derivations satisfying certain differential identities. Click to show full abstract
We extend the domain of applicability of the concept of $(1, \alpha)$-derivations in $3$-prime near-rings by analyzing the structure and commutativity of near-rings admitting $(1, \alpha)$-derivations satisfying certain differential identities.
               
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