Abelian-By-Nilpotent Varities of Lie Algebras

DOI10.1112/jlms/s2-11.3.263zbMath0316.17007OpenAlexW1964292971MaRDI QIDQ4075631

Michael Vaughan-Lee

Publication date: 1975

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-11.3.263

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Quasivarieties and varieties of groups (20E10) Lie algebras and Lie superalgebras (17B99) Varieties (08B99)

Related Items (9)

Specht property of varieties of graded Lie algebras ⋮ Nonassociative rings ⋮ Identities of representations of nilpotent lie algebras ⋮ Weak polynomial identities and their applications ⋮ Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\) ⋮ Symmetric polynomials and nonfinitely generated \(\mathrm{Sym}(\mathbb{N})\)-invariant ideals ⋮ Polynomial identities for the Jordan algebra of \(2 \times 2\) upper triangular matrices ⋮ Ideals of identities of representations of nilpotent lie algebras ⋮ Varieties of Lie algebras with the identity \([[x_ 1,x_ 2,x_ 3,[x_ 4,x_ 5,x_ 6]]=0\) over a field of characteristic zero]

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