Monomial algebras

DOI10.1007/BF02355446zbMath0927.16018OpenAlexW4243461972MaRDI QIDQ1288048

V. V. Borisenko, Victor N. Latyshev, Alexei Kanel-Belov

Publication date: 10 May 1999

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

Full work available at URL: https://doi.org/10.1007/bf02355446

zbMATH Keywords

representations of algebras Hilbert series Gelfand-Kirillov dimension monomial algebras defining relations regular languages varieties of algebras PI-algebras growth of algebras algorithmic problems automata algebras Lie nilpotency problems of Burnside type radicals in algebras

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Equational logic, Mal'tsev conditions (08B05) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Nonassociative algebras satisfying other identities (17A30)

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