Isotopes of prime \((-1,1)\)- and Jordan algebras

DOI10.1007/s10469-010-9095-4zbMath1241.17035OpenAlexW2026024802MaRDI QIDQ619327

Sergey V. Pchelintsev

Publication date: 24 January 2011

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-010-9095-4

zbMATH Keywords

identityprime algebraLie nilpotenceisotopehomotoperight alternative algebraadjoint Jordan algebrastrictly (-1,1)-algebra

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Right alternative rings (17D15) ((gamma, delta))-rings, including ((1,-1))-rings (17D20)

Related Items

Central isotopes of \((-1,1) \)-algebras ⋮ Commutator identities of the homotopes of \((-1, 1)\)-algebras ⋮ On the commutator nilpotency step of strictly \((-1,1)\)-algebras ⋮ Triple Lie systems associated with \((-1, 1)\) algebras ⋮ One-sided isotopes and homotopes of right-alternative algebras ⋮ One-sided isotopes of finite-dimensional algebras ⋮ Isotopes of alternative algebras of characteristic different from ⋮ Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type ⋮ Degenerate alternative algebras ⋮ Prime algebras connected with monsters ⋮ The isotopically simple algebras with a nil-basis ⋮ A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields ⋮ Isotopes of simple algebras of arbitrary dimension ⋮ A historical perspective of the theory of isotopisms

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