On centres of relatively free associative algebras with a Lie nilpotency identity
From MaRDI portal
Publication:2963672
DOI10.1070/SM2015v206n11ABEH004506zbMath1366.16019MaRDI QIDQ2963672
Sergey V. Pchelintsev, Aleksandr V. Grishin
Publication date: 21 February 2017
Published in: Sbornik: Mathematics (Search for Journal in Brave)
proper polynomialcenter of an algebraextended Grassmann algebracore polynomialLie nilpotency identity
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)
Related Items
Identities in group rings, enveloping algebras and Poisson algebras, Products of commutators in a Lie nilpotent associative algebra, Lie structure of truncated symmetric Poisson algebras, Identities of metabelian alternative algebras, 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, Finitely based \(T\)-spaces of free Lie nilpotent algebras of rank 2, Products of several commutators in a Lie nilpotent associative algebra, On identities of model algebras, Structure of the variety of alternative algebras with the Lie-nilpotency identity of degree 5, Product theorems for alternative algebras and some of their applications, Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6, On the \(\mathrm{GL}(n)\)-module structure of Lie nilpotent associative relatively free algebras, Identities of the model algebra of multiplicity 2, On the additive structure and asymptotics of codimensions \(c_n\) in the algebra \(F^{(5)}\), Asymptotics of the codimensions \(c_n\) in the algebra \(F^{(7)}\), Some products of commutators in an associative ring, On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4, Relations in universal Lie nilpotent associative algebras of class 4, Relatively free associative Lie nilpotent algebras of rank 3, Some finitely generated associative algebras with a Lie nilpotency identity
