Subalgebras, idempotents, ideals and quasi-units of two-dimensional algebras

DOI10.1142/S0218196720500253zbMath1460.17010arXiv1810.06780OpenAlexW2999656480WikidataQ126399036 ScholiaQ126399036MaRDI QIDQ5123710

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

Publication date: 29 September 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06780

zbMATH Keywords

idempotentidealsubalgebraleft quasi-unit

Mathematics Subject Classification ID

General nonassociative rings (17A99) Other nonassociative rings and algebras (17D99)

Related Items (2)

Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras ⋮ Identities on two-dimensional algebras

Cites Work

• Conservative algebras of 2-dimensional algebras
• Classifying quadratic maps from plane to plane
• The classification of two-dimensional nonassociative algebras
• Contractions of 2-dimensional Jordan algebras
• When is ℝ 2 a Division Algebra?
• On the variety of two dimensional real associative algebras
• The Variety of Two-dimensional Algebras Over an Algebraically Closed Field
• Two-Dimensional Power-Associative Algebras
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