Commutativity Criteria for 3-Prime Near-Rings via Zero-Power Valued Homoderivations

Commutativity Criteria for 3-Prime Near-Rings

Abstract

In this work, we discuss the commutativity of a 3-prime near-ring N that satisfies some algebraic
identities under the action of a homoderivation. Additionally, we provide examples to illustrate
that the 3-primeness and zero-power valued conditions imposed in our theorems are essential and
cannot be disregarded.

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Published
2025-09-18
Section
Research Articles