FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 4, PAGES 133-139

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

A. V. Grishin

Abstract

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In this work, we continue to study $T$-spaces in Lie nilpotent algebras of index $l\; >\; 3$. The focus is on the two-generated algebra of index $4$, where simple finite systems of generators are specified for a broad class of $T$-spaces in $T(3)/T(4)$.

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Last modified: July 2, 2012