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<p>The algebraic and geometric classifications of complex 3-dimensional right alternative superalgebras are given. As a byproduct, we have the algebraic and geometric classification of the variety of 3-dimensional <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathfrak {perm}\)</EquationSource> </InlineEquation>, binary <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathfrak {perm}\)</EquationSource> </InlineEquation>, associative, binary associative, (− 1,1)-, and binary (− 1,1)-superalgebras.</p>

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The algebraic and geometric classification of right alternative superalgebras

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年3月24日

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  • Hani Abdelwahab,
  • Ivan Kaygorodov,
  • Abror Khudoyberdiyev

摘要

The algebraic and geometric classifications of complex 3-dimensional right alternative superalgebras are given. As a byproduct, we have the algebraic and geometric classification of the variety of 3-dimensional \(\mathfrak {perm}\) , binary \(\mathfrak {perm}\) , associative, binary associative, (− 1,1)-, and binary (− 1,1)-superalgebras.