Identities of the model algebra of multiplicity 2

DOI10.1134/S0037446618060149zbMath1407.16021OpenAlexW2906524019WikidataQ128695670 ScholiaQ128695670MaRDI QIDQ1731403

Sergey V. Pchelintsev

Publication date: 13 March 2019

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

Full work available at URL: https://doi.org/10.1134/s0037446618060149

zbMATH Keywords

free algebraadditive basisproper polynomialidentities of a model algebraidentity of Lie-nilpotency

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)

Related Items (5)

Construction and applications of an additive basis for the relatively free associative algebra with the Lie nilpotency identity of degree 5 ⋮ The asymptotic approach to the description of the center of a relatively free Lie-nilpotent algebra ⋮ On identities of model algebras ⋮ Structure of the variety of alternative algebras with the Lie-nilpotency identity of degree 5 ⋮ Some finitely generated associative algebras with a Lie nilpotency identity

Cites Work

• Constants of partial derivations and primitive operations
• On T-spaces and relations in relatively free Lie nilpotent associative algebras.
• On centres of relatively free associative algebras with a Lie nilpotency identity
• Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6
• Examples ofT-spaces with an infinite basis
• The Polynomial Identities of the Grassman Algebra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Identities of the model algebra of multiplicity 2