The algebraic and geometric classification of right alternative superalgebras

Fuente: arXiv
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Autores principales: Abdelwahab, Hani, Kaygorodov, Ivan, Khudoyberdiyev, Abror
Formato: Preprint
Publicado: 2026
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author Abdelwahab, Hani
Kaygorodov, Ivan
Khudoyberdiyev, Abror
author_facet Abdelwahab, Hani
Kaygorodov, Ivan
Khudoyberdiyev, Abror
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_00609
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The algebraic and geometric classification of right alternative superalgebras
Abdelwahab, Hani
Kaygorodov, Ivan
Khudoyberdiyev, Abror
Rings and Algebras
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.
title The algebraic and geometric classification of right alternative superalgebras
topic Rings and Algebras
url https://arxiv.org/abs/2602.00609