The algebraic and geometric classification of right alternative superalgebras

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Hani Abdelwahab, Ivan Borisovich Kaygorodov, Abror Kh. 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.

Fields of Study & Subjects

Advanced Topics in Algebra Algebraic and Geometric Analysis Rings Modules and Algebras

Publication details

Journal / source
arXiv (Cornell University)
Publication date
31 January 2026
Document type
Preprint