A Generalization of Lazard's Elimination Theorem 1

Authors: Elizabeth Jurisich ^a^b; Robert Wilson ^c

Affiliations:	^a Department of Mathematics, The College of Charleston, Charleston, South Carolina, USA
	^b Department of Mathematics, The College of Charleston, Charleston, SC, USA
	^c Department of Mathematics, Rutgers University, Piscataway, New Jersey, USA

DOI: 10.1081/AGB-200028234

Publication Frequency: 12 issues per year

Published in: journal

Communications in Algebra, Volume 32, Issue 10 January 2005 , pages 4037 - 4041

Subject: Fields & Rings;

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Abstract

Using the classical Lazard's elimination theorem, we obtain a decomposition theorem for Lie algebras defined by generators and relations of a certain type.

1 ^#Communicated by K. Misra.

Keywords: Free Lie algebra; Elimination theorem

Mathematics Subject Classification: 17B01; 17B65

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A Generalization of Lazard's Elimination Theorem 1

Abstract