English

The algebraic and geometric classification of right alternative superalgebras

Rings and Algebras 2026-02-03 v1

Abstract

The algebraic and geometric classifications of complex 33-dimensional right alternative superalgebras are given. As a byproduct, we have the algebraic and geometric classification of the variety of 33-dimensional perm\mathfrak{perm}, binary perm\mathfrak{perm}, associative, binary associative, (1,1)\big(-1,1\big)-, and binary (1,1)\big(-1,1\big)-superalgebras.

Keywords

Cite

@article{arxiv.2602.00609,
  title  = {The algebraic and geometric classification of right alternative superalgebras},
  author = {Hani Abdelwahab and Ivan Kaygorodov and Abror Khudoyberdiyev},
  journal= {arXiv preprint arXiv:2602.00609},
  year   = {2026}
}