The torsion subgroup of the additive group of a Lie nilpotent associative ring of class 3.
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Publication:2257278
DOI10.1016/j.jalgebra.2015.01.009zbMath1333.16023arXiv1308.4172OpenAlexW2140540213WikidataQ115350871 ScholiaQ115350871MaRDI QIDQ2257278
Alexei Krasilnikov, Galina Deryabina
Publication date: 24 February 2015
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.4172
free associative algebrasT-idealspolynomial identitiesnilpotent algebrastorsion elementsLie nilpotent rings
Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities other than those of matrices over commutative rings (16R40)
Related Items
Products of commutators in a Lie nilpotent associative algebra, Products of several commutators in a Lie nilpotent associative algebra, On lower central series quotients of finitely generated algebras over \(\mathbb Z\)., Some products of commutators in an associative ring, Relations in universal Lie nilpotent associative algebras of class 4
Cites Work
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- On the filtration of a free algebra by its associative lower central series.
- On lower central series quotients of finitely generated algebras over \(\mathbb Z\).
- On the lower central series quotients of a graded associative algebra.
- Codimensions of T-ideals and Hilbert series of relatively free algebras
- On the lower central series of an associative algebra (with an appendix by Pavel Etingof).
- New results on the lower central series quotients of a free associative algebra.
- On universal Lie nilpotent associative algebras.
- On the Lie ideals of a ring
- On the semigroup nilpotency and the Lie nilpotency of associative algebras
- Mal'cev nilpotent algebras
- On T-spaces and relations in relatively free Lie nilpotent associative algebras.
- Lower central series of a free associative algebra over the integers and finite fields.
- Lower central series of free algebras in symmetric tensor categories.
- The additive group of a Lie nilpotent associative ring.
- On \([A,A/[A[A,A]]\) and on a \(W_n\)-action on the consecutive commutators of free associative algebras.]
- Codimension Growth of Strong Lie Nilpotent Associative Algebras
- An Algebro-geometric Construction of Lower Central Series of Associative Algebras
- An Upper Bound for the Lower Central Series Quotients of a Free Associative Algebra
- Codimensions of commutators of length 4
- Relations in universal Lie nilpotent associative algebras of class 4
- On rings whose associated Lie rings are nilpotent
- Associative rings whose adjoint semigroup is locally nilpotent
