Equality problem for center-by-metabelian Lie algebras

DOI10.1007/BF01979867zbMath0594.17007OpenAlexW1994262435WikidataQ115393020 ScholiaQ115393020MaRDI QIDQ1076783

Ualbei Utmakhanbetovich Umirbaev

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/187272

zbMATH Keywords

free algebraword problemcompositionfinitely presentedpolynomial identityequality problemvariety of Lie algebrasaffirmative solutioncenter- by-metabelian varietysoluble Lie algebras

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30) Word problems, etc. in computability and recursion theory (03D40) Word problems (aspects of algebraic structures) (08A50)

Related Items (3)

The word problem for subvarieties of the variety \({\mathfrak N}_ 2{\mathfrak A}\) ⋮ Algorithmically insoluble problems about finitely presented solvable groups, Lie and associative algebras. III ⋮ Gröbner–Shirshov bases and their calculation

Cites Work

• A solvable group admitting a regular splitting automorphism of prime order is nilpotent
• Ordering by Divisibility in Abstract Algebras
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