The asymptotic approach to the description of the center of a relatively free Lie-nilpotent algebra
DOI10.1007/s10958-023-06284-6OpenAlexW4321612978MaRDI QIDQ2687480
Publication date: 2 March 2023
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-023-06284-6
Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras (16P99) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)
Cites Work
- Asymptotic properties of free finitely generated algebras of certain varieties
- Central polynomials of second-order matrix algebra
- Identities of the model algebra of multiplicity 2
- Asymptotics of the codimensions \(c_n\) in the algebra \(F^{(7)}\)
- Construction and applications of an additive basis for the relatively free associative algebra with the Lie nilpotency identity of degree 5
- On T-spaces and relations in relatively free Lie nilpotent associative algebras.
- On the center of a relatively free Lie-nilpotent algebra of index 4.
- Codimensions of algebras and growth functions
- Central polynomials for matrix rings
- 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
- On the structure of the centre of a relatively free Grassmann algebra
- On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4
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