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The algebraic and geometric classification of right alternative superalgebras

Hani AbdelwahabDepartment of Mathematics, Mansoura University, Mansoura, EgyptIvan KaygorodovCMA-UBI, University of Beira Interior, Covilhã, PortugalAbror KhudoyberdiyevNational University of Uzbekistan, Tashkent, Uzbekistan
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Abstract 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.

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