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arXiv · 2602.00609

The algebraic and geometric classification of right alternative superalgebras

Hani Abdelwahab·Ivan Kaygorodov·Abror Khudoyberdiyev
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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, $\big(-1,1\big)$-, and binary $\big(-1,1\big)$-superalgebras.

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Hani Abdelwahab, Ivan Kaygorodov, Abror Khudoyberdiyev. 2026-01-31. The algebraic and geometric classification of right alternative superalgebras. https://arxiv.org/abs/2602.00609

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