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Growth of some varieties of Leibniz-Poisson algebras [PDF]

, 2011
2010 Mathematics Subject Classification: 17A32, 17B63.Let V be a variety of Leibniz-Poisson algebras over an arbitrary field whose ideal of identities contains the identities {{x1,y1},{x2,y2},ј,{xm,ym}} = 0, {x1,y1}·{x2,y2}· ј ·{xm,ym} = 0 for some m.
Ratseev, S. M.
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The Variety of Leibniz Algebras Defined by the Identity x(y(zt)) ≡ 0 [PDF]

, 2003
2000 Mathematics Subject Classification: Primary: 17A32; Secondary: 16R10, 16P99, 17B01, 17B30, 20C30Let F be a field of characteristic zero. In this paper we study the variety of Leibniz algebras 3N determined by the identity x(y(zt)) ≡ 0.
Abanina, L., Mishchenko, S.
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q-Leibniz Algebras [PDF]

, 2008
2000 Mathematics Subject Classification: Primary 17A32, Secondary 17D25.An algebra (A,ο) is called Leibniz if aο(bοc) = (a ο b)ο c-(a ο c) ο b for all a,b,c ∈ A.
Dzhumadil'daev, A. S.
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Algebras, Dialgebras, AND POLYNOMIAL IDENTITIES [PDF]

, 2012
2010 Mathematics Subject Classification: Primary 17A30. Secondary 16R10, 17-08, 17A32,This is a survey of some recent developments in the theory of associative and nonassociative dialgebras, with an emphasis on polynomial identities and multilinear ...
Murray R. Bremner, R. Bremner, Murray
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On low-dimensional filiform Leibniz algebras and their invariants

, 2011
The paper deals with the complete classication of a subclass of complex liform Leibniz algebras in dimensions 5 and 6. This subclass arises from the naturally graded liform Lie algebras. We give a complete list of algebras.
Husna Zayadi
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The Schur Lie-multiplier of Leibniz algebras

, 2018
For a free presentation 0 → τ → f → g → 0 of a Leibniz algebra g, the Baer invariant MLie(g) = τ∩[f;f]Lie/[f;τ]Lie is called the Schur multiplier of g relative to the Liezation functor or Schur Lie-multiplier. For a two-sided ideal n of a Leibniz algebra
Casas, J.M., Insua, M.A.
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Identification of Immune Activation Markers in the Early Onset of COVID-19 Infection. [PDF]