On the center of a relatively free Lie-nilpotent algebra of index 4.

DOI10.1134/S0001434612010142zbMath1286.16020WikidataQ115253956 ScholiaQ115253956MaRDI QIDQ2435921

Aleksandr V. Grishin

Publication date: 21 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

centerfree associative algebrasbases of identitiesGrassmann algebrasT-spacesindices of algebrasrelatively free Lie-nilpotent algebrasFrobenius relations

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items (3)

Construction and applications of an additive basis for the relatively free associative algebra with the Lie nilpotency identity of degree 5 ⋮ The asymptotic approach to the description of the center of a relatively free Lie-nilpotent algebra ⋮ On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4

Cites Work

• On T-spaces in a relatively free two-generated Lie nilpotent associative algebra of index 4.

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