On nonconstant pre-Lie bimodules over \(M_2(F) \)

DOI10.1134/S0037446622020100zbMath1497.17046OpenAlexW4226160377MaRDI QIDQ2123087

Alexander P. Pozhidaev

Publication date: 8 April 2022

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446622020100

zbMATH Keywords

irreducible bimodulepre-Lie algebraleft-symmetric algebrasimple algebraright-symmetric algebra

Mathematics Subject Classification ID

Lie-admissible algebras (17D25)

Related Items (1)

On diagonal nonconstant right-symmetric algebras of matrix type \(M_2(F) \)

Cites Work

• Associator dependent rings
• On endomorphs of right-symmetric algebras
• On the right-symmetric algebras with a unital matrix subalgebra
• Simple right-symmetric \((1, 1)\)-superalgebras
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• Malcev-Moduln.
• The Structure of Associator Dependent Rings
• General Representation Theory of Jordan Algebras
• Representations of Alternative Algebras
• Irreducible unital right alternative bimodules
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