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<p>Near-rings associated with restricted sharply <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$ 2 $</EquationSource> </InlineEquation>-transitive groups are studied.Constructions of extensions of near-rings by means of biodules, bimodules, and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$ 2 $</EquationSource> </InlineEquation>-pseudofields are presented.A&#xa0;scheme for doubling the dimension of near-rings is proposed.Examples of near-rings with nonabelian additive groups are given.</p>

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Some Constructions of Extensions of Near-Rings

  • 期刊论文

  • 发表日期：

    2026年3月28日

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  • A. A. Simonov

摘要

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.