Combinatorial aspects of free associative algebras and cohomologies of Lie \(p\)-algebras with one defining relation.

DOI10.1007/S10958-009-9527-7zbMath1191.16022OpenAlexW2032519473MaRDI QIDQ844407

N. E. Zubov

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9527-7

zbMATH Keywords

decision problemsword problemfinitely generated free algebrasFreiheitssatzalgebras with one defining relationLie \(p\)-algebrasperiodicity of cohomologies

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Universal enveloping (super)algebras (17B35) Resolutions; derived functors (category-theoretic aspects) (18G10) Cohomology of Lie (super)algebras (17B56) Word problems, etc. in computability and recursion theory (03D40) Homological dimension in associative algebras (16E10) Universal enveloping algebras of Lie algebras (16S30)

Related Items (1)

Primitive elements of free Lie \(p\)-algebras

Cites Work

• cohomology of Lie \(p\)-algebras
• Cohomology theory of groups with a single defining relation
• The Freiheitssatz for Graded Algebras
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