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The occurrence problem for Lie algebras

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Publication:1346901
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DOI10.1007/BF02261696zbMath0821.17002OpenAlexW2046723658WikidataQ115392641 ScholiaQ115392641MaRDI QIDQ1346901

Ualbei Utmakhanbetovich Umirbaev

Publication date: 20 April 1995

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

Full work available at URL: https://doi.org/10.1007/bf02261696


zbMATH Keywords

undecidabilityfree algebrauniversal enveloping algebrafree metabelian Lie algebraoccurrence problemfree solvable Lie algebra


Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30)


Related Items

Algorithmic problems for differential polynomial algebras ⋮ Occurrence problem for free solvable groups ⋮ Gröbner–Shirshov bases and their calculation ⋮ Ualbai Utmakhanbetovich Umirbaev ⋮ Linear equations over noncommutative graded rings. ⋮ Systems of linear equations over associative algebras and the occurrence problem for lie algebras



Cites Work

  • Finite separability of groups and Lie algebras
  • A solvable group admitting a regular splitting automorphism of prime order is nilpotent
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