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Some Algebraic Identities in 3-Prime Near-Rings

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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.

Keywords: algebraic identities; identities prime; prime near; near rings

Journal Title: Ukrainian Mathematical Journal
Year Published: 2020

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