Triple Lie systems associated with \((-1, 1)\) algebras

DOI10.3103/S1066369X2003007XzbMath1456.17018OpenAlexW3020015693MaRDI QIDQ2191882

L. R. Borisova, Sergey V. Pchelintsev

Publication date: 26 June 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x2003007x

zbMATH Keywords

Lie triple system\((-1, 1)\)-algebra

Mathematics Subject Classification ID

Ternary compositions (17A40) Right alternative rings (17D15) ((gamma, delta))-rings, including ((1,-1))-rings (17D20)

Cites Work

• Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type
• Isotopes of prime \((-1,1)\)- and Jordan algebras
• An example of a solvable but not nilpotent (-1,1)-ring
• The characterization of (-1,1) rings
• Speciality of Jordan superalgebras related to Novikov-Poisson algebras
• Homotopes of alternative algebras
• Malcev-Moduln.
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