Identities on two-dimensional algebras

DOI10.1134/S1995080220090024zbMath1455.16020arXiv2001.00002OpenAlexW3099982993MaRDI QIDQ2211364

H. Ahmed, U. D. Bekbaev, Isamiddin S. Rakhimov

Publication date: 11 November 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00002

zbMATH Keywords

algebrapolynomial identitystructure constants

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (2)

Two-dimensional perfect evolution algebras over domains ⋮ Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras

Cites Work

• Classifying quadratic maps from plane to plane
• The classification of two-dimensional nonassociative algebras
• On two-dimensional power associative algebras over algebraically closed fields and \(\mathbb R\)
• Classification of two-dimensional Jordan algebras
• Subalgebras, idempotents, ideals and quasi-units of two-dimensional algebras
• The Variety of Two-dimensional Algebras Over an Algebraically Closed Field
• Codimension growth of two-dimensional non-associative algebras
• On Evolution Algebras
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