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December 2015 Primitive elements of free Lie $p$-algebras
G. Rakviashvili
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Tbilisi Math. J. 8(2): 35-40 (December 2015). DOI: 10.1515/tmj-2015-0008

Abstract

Let $L$ be a finitely generated free Lie $p$-algebra and $\langle a\rangle$ an ideal generated by $a\in L$. It is proved that $L/\langle a \rangle$ is free if and only if $\langle a\rangle$ is primitive (i.e. $a$ belongs to some set of free generators of $L$). Earlier analogues theorems were proved for some objects, for example, for groups, Lie algebras, free algebras and so on.

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G. Rakviashvili. "Primitive elements of free Lie $p$-algebras." Tbilisi Math. J. 8 (2) 35 - 40, December 2015. https://doi.org/10.1515/tmj-2015-0008

Information

Received: 10 March 2015; Accepted: 29 March 2015; Published: December 2015
First available in Project Euclid: 12 June 2018

zbMATH: 1329.17018
MathSciNet: MR3334113
Digital Object Identifier: 10.1515/tmj-2015-0008

Subjects:
Primary: 17B99

Rights: Copyright © 2015 Tbilisi Centre for Mathematical Sciences

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Vol.8 • No. 2 • December 2015
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