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Identities of Lie algebras with nilpotent commutator ideal over a field of finite characteristic

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Publication:1311094
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DOI10.1007/BF01206387zbMath0791.17006OpenAlexW1969735003MaRDI QIDQ1311094

Alexei Krasilnikov

Publication date: 8 February 1994

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01206387

zbMATH Keywords

Lie algebrascommutator idealsSpecht propertyfinite basis of identities\(T\)-ideals


Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Rings with polynomial identity (16R99)


Related Items

Some thoughts on the current state of the theory of identical relations in Lie algebras, Specht property of varieties of graded Lie algebras, Symmetric polynomials and nonfinitely generated \(\mathrm{Sym}(\mathbb{N})\)-invariant ideals



Cites Work

  • Unnamed Item
  • Galois extensions and quotient rings
  • Continuum of pairwise nonisomorphic nuclear F-spaces without base
  • On the laws of a metabelian variety
  • VARIETIES OF LIE ALGEBRAS
  • SOLUBLE VARIETIES OF LIE ALGEBRAS
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