Codimension Growth of Strong Lie Nilpotent Associative Algebras

DOI10.1080/00927870903527592zbMath1226.16017OpenAlexW2165523447MaRDI QIDQ3015076

Victor M. Petrogradsky

Publication date: 8 July 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903527592

zbMATH Keywords

free Lie algebrasPI algebrascodimension sequenceslower central seriescodimension growthLie nilpotenceStirling numbers of first kindnon-matrix varietiesLie nilpotent varietiesstrong Lie nilpotent algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Solvable, nilpotent (super)algebras (17B30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items

Identities in group rings, enveloping algebras and Poisson algebras, Lie structure of truncated symmetric Poisson algebras, Scale for codimension growth of Poisson PI-algebras, Zariski closed algebras in varieties of universal algebra., The torsion subgroup of the additive group of a Lie nilpotent associative ring of class 3., Relatively free associative Lie nilpotent algebras of rank 3, Some finitely generated associative algebras with a Lie nilpotency identity

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