Systems of linear equations over associative algebras and the occurrence problem for lie algebras

DOI10.1080/00927879908826439zbMath0922.17004OpenAlexW2015991235MaRDI QIDQ4238619

Chander Kanta Gupta, Ualbei Utmakhanbetovich Umirbaev

Publication date: 27 September 1999

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826439

zbMATH Keywords

algorithmic problemsoccurrence problemvarieties of Lie and associative algebras

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items

Algorithmic problems for differential polynomial algebras ⋮ The Anick automorphism of free associative algebras ⋮ The occurrence problem for free metanilpotent Lie algebras ⋮ Degree estimate for commutators.

Cites Work

• Relative linear dependence problem for the variety \({\mathfrak AN}_ {\mathbf{c}}\) of Lie algebras
• The word problem for subvarieties of the variety \({\mathfrak N}_ 2{\mathfrak A}\)
• The diamond lemma for ring theory
• The occurrence problem for Lie algebras
• Algorithmic problems for metabelian groups
• Occurrence problem for free solvable groups
• Ordering by Divisibility in Abstract Algebras
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