Keywords: Prime near-rings
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Journal Articles
Arab Journal of Mathematical Sciences (2026) 32 (2): 196–207.
Published: 12 January 2026
... ¯  or  y ¯ = 0 ¯ . Proof. Since P is 3-prime, the quotient N / P inherits the structure of a 3-prime near-ring. Consequently, the arguments for (i) and (ii) proceed analogously to those in [[ 19 ], Lemmas 1.3(i) & 1.4(i)], respectively. □ Lemma 2...

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