Work

The algebraic and geometric classification of semi-alternative superalgebras

Year: 2026

Type: preprint

Abstract: The algebraic and geometric classifications of complex $3$-dimensional semi-alternative superalgebras are given. As corollaries, we obtain the algebraic and geometric classifications of complex $3$-dimensional $\mathfrak{perm}$, associative, and assosymmetric superalgebras.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.23350

Authors: Abdelwahab, Hani, Kaygorodov, Ivan, Lubkov, Roman

Institutions: Mansoura University, University of Beira Interior, Peking University, St Petersburg University

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7222918788

Cites: 38

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Related to: 10