Relative linear dependence problem for the variety \({\mathfrak AN}_ {\mathbf{c}}\) of Lie algebras

DOI10.1007/BF00968954zbMath0596.17007OpenAlexW1969623115MaRDI QIDQ1078305

V. V. Talapov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00968954

zbMATH Keywords

decision problemnilpotencyfinitely presentedvariety of Lie algebrasabelian-by-nilpotentrelative linear dependence

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Word problems, etc. in computability and recursion theory (03D40) Lie algebras and Lie superalgebras (17B99) Word problems (aspects of algebraic structures) (08A50)

Related Items

Generators of Groups and Lie Algebras of the Form F/[N,N] ⋮ The occurrence problem for free metanilpotent Lie algebras ⋮ Systems of linear equations over associative algebras and the occurrence problem for lie algebras

Cites Work

• Unnamed Item
• Recursive unsolvability of group theoretic problems
• A solvable group admitting a regular splitting automorphism of prime order is nilpotent
• On solvable Lie algebras with one defining relation

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