Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6

DOI10.1070/SM8652zbMath1372.16020OpenAlexW2519933385MaRDI QIDQ2971429

Aleksandr V. Grishin, Sergey V. Pchelintsev

Publication date: 5 April 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8652

zbMATH Keywords

coresuperalgebraHall polynomialsproper polynomialcentreextended Grassmann algebraGrassmann hullidentities of Lie nilpotency of degrees 5 and 6

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 (12)

Identities of metabelian alternative algebras ⋮ Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part ⋮ Construction and applications of an additive basis for the relatively free associative algebra with the Lie nilpotency identity of degree 5 ⋮ Asymptotic behavior in Lie nilpotent relatively free algebras and extended Grassmann algebras ⋮ 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 ⋮ Identities of the model algebra of multiplicity 2 ⋮ On the additive structure and asymptotics of codimensions \(c_n\) in the algebra \(F^{(5)}\) ⋮ On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4 ⋮ Relatively free associative Lie nilpotent algebras of rank 3 ⋮ Some finitely generated associative algebras with a Lie nilpotency identity

Cites Work

• Unnamed Item
• Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type
• On centres of relatively free associative algebras with a Lie nilpotency identity
• FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR
• The Polynomial Identities of the Grassman Algebra
• THE FREE ALTERNATIVE SUPERALGEBRA ON ONE ODD GENERATOR

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