Construction and applications of an additive basis for the relatively free associative algebra with the Lie nilpotency identity of degree 5

DOI10.1134/S0037446620010127zbMath1443.16026OpenAlexW3007114416WikidataQ115248354 ScholiaQ115248354MaRDI QIDQ2191347

Sergey V. Pchelintsev

Publication date: 24 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0037446620010127

zbMATH Keywords

additive basiscentral polynomialkernel polynomialcodimension of \(T\)-idealLie nilpotency identity of degree 5

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40)

Related Items

The asymptotic approach to the description of the center of a relatively free Lie-nilpotent algebra, Structure of the variety of alternative algebras with the Lie-nilpotency identity of degree 5

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