On the complexity functions for T-ideals of associative algebras

DOI10.1023/A:1026612817194zbMath1010.16021OpenAlexW184962065MaRDI QIDQ5959464

Victor M. Petrogradsky

Publication date: 2 June 2002

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026612817194

zbMATH Keywords

T-idealsexponential generating functionscodimensionscomplexity functionsgrowth of varietiesHilbert-Poincaré seriesSchreier formulavarieties of algebras

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (6)

Poisson PI algebras ⋮ Enumeration of algebras close to absolutely free algebras and binary trees ⋮ Minimal varieties of graded Lie algebras of exponential growth and the special Lie algebra \(sl_2\) ⋮ Proper identities, Lie identities and exponential codimension growth. ⋮ Identities in the varieties generated by the algebras of upper triangular matrices ⋮ Graded polynomial identities and codimensions: computing the exponential growth.

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