arXiv Open Access 2025

On three-dimensional associative algebras

U. Bekbaev I. Rakhimov

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Abstrak

This paper addresses the classification problem of associative algebras over arbitrary base fields. We present a list of three-dimensional associative algebras with canonical representatives of the isomorphism classes for fields of characteristic different from two and three. We also compare our lists with the most recent classifications over the complex numbers and with the nilpotent case over arbitrary base fields in dimension three, adding some comments.

Topik & Kata Kunci

math.RA

Penulis (2)

U. Bekbaev

I. Rakhimov

Format Sitasi

APA MLA BibTeX

Bekbaev, U., Rakhimov, I. (2025). On three-dimensional associative algebras. https://arxiv.org/abs/2508.04104

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓