Some finitely generated associative algebras with a Lie nilpotency identity
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Publication:4997979
DOI10.1142/S0219498821501127zbMath1472.16022OpenAlexW3012249621WikidataQ115245591 ScholiaQ115245591MaRDI QIDQ4997979
Sergey V. Pchelintsev, Vita I. Glizburg
Publication date: 1 July 2021
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498821501127
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Alternative rings (17D05) Free nonassociative algebras (17A50)
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Cites Work
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- Proper identities of finitely generated commutative alternative algebras
- Lie ideals in group rings
- Structure of finitely generated commutative alternative algebras and special Moufang loops.
- On the Lie ideals of a ring
- Identities of the model algebra of multiplicity 2
- On T-spaces and relations in relatively free Lie nilpotent associative algebras.
- Lower central series of free algebras in symmetric tensor categories.
- The additive group of a Lie nilpotent associative ring.
- Gesetze in Ringen. I
- 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
- Codimension Growth of Strong Lie Nilpotent Associative Algebras
- On the Lower Central Factors of a Free Associative Ring
- Noncommutative geometry based on commutator expansions
- Some products of commutators in an associative ring
- On rings whose associated Lie rings are nilpotent
