Some finitely generated associative algebras with a Lie nilpotency identity-Reference-Cited by-同舟云学术

Some finitely generated associative algebras with a Lie nilpotency identity

Published:2020-06-10 Issue:07 Volume:20 Page:2150112
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Glizburg Vita¹^ORCID,Pchelintsev Sergey²³

Affiliation:

1. Department of Didactics, Institute of Pedagogy and Psychology of Education, Moscow City Pedagogical University, 2-Selskohoziajstvenny Proezd, 4-1, Moscow 129226, Russia

2. Department of Data Analysis, Decision Making and Financial Technologies, Finance University under the Government of the Russian Federation, Leningradsky Prospect 49, Moscow 125993, Russia

3. Moscow Center for Fundamental and Applied Mathematics, Moscow State University, Lenin Hills, 1, Moscow 119991, Russia

Abstract

It is proved that the algebra of multiplications of the free commutative alternative algebra of finite rank [Formula: see text] is strongly Lie nilpotent of class [Formula: see text]. It is found the class of nilpotency of the ideal, generated by commutators in the free [Formula: see text]-generated associative algebra with identity of Lie nilpotency of degree [Formula: see text] under the condition that [Formula: see text] or [Formula: see text].

Funder

Russian Science Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498821501127

Reference14 articles.

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