Study explores constructions of near-ring extensions, highlighting implications for algebraic structures.
Near-rings associated with restricted sharply $ 2 $ -transitive groups are studied. Constructions of extensions of near-rings by means of biodules, bimodules, and $ 2 $ -pseudofields are presented. A scheme for doubling the dimension of near-rings is proposed. Examples of near-rings with nonabelian additive groups are given.
No takes yet. Share an insight, caveat, or question.
A. A. Simonov (2026) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: