On the variety of Mal'tsev algebras

DOI10.1007/BF01669020zbMath0496.17012OpenAlexW2060221276MaRDI QIDQ1170345

V. T. Filippov

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/187138

zbMATH Keywords

polynomial identities of matrix Lie algebrasprime Lie algebrasvarieties of Mal'tsev algebras

Mathematics Subject Classification ID

Lattices of varieties (08B15) Structure theory for Lie algebras and superalgebras (17B05) Lie algebras and Lie superalgebras (17B99) Mal'tsev rings and algebras (17D10)

Related Items (11)

Weak polynomial identities for the matrix algebra of order two ⋮ A Lie algebra over a finite field of characteristic 2: graded polynomial identities and Specht property ⋮ Central polynomials in the matrix algebra of order two. ⋮ Hom-alternative, Hom-Malcev and Hom-Jordan superalgebras ⋮ Weak polynomial identities and their applications ⋮ The simple non-Lie Malcev algebra as a Lie-Yamaguti algebra ⋮ Symmetric matrices, orthogonal Lie algebras and Lie-Yamaguti algebras ⋮ The Composition Structure of Alternative and Malcev Algebras ⋮ Equations in simple Lie algebras ⋮ The Composition Structure of Alternative and Malcev Algebras ⋮ Constructions of three kinds of BiHom-superalgebras

Cites Work

• Unnamed Item
• On Engelian Mal'tsev algebras
• Prime nonassociative algebras
• Malcev Algebras

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