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Journal Article

HNN-Extensions of Lie Algebras

A. I. Lichtman and M. Shirvani
Proceedings of the American Mathematical Society
Vol. 125, No. 12 (Dec., 1997), pp. 3501-3508
Stable URL: http://www.jstor.org/stable/2162246
Page Count: 8
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HNN-Extensions of Lie Algebras
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Abstract

We define HNN-extensions of Lie algebras and study their properties. In particular, a sufficient condition for freeness of subalgebras is obtained. We also study differential HNN-extensions of associative rings. These constructions are used to give short proofs of Malcev's and Shirshov's theorems that an associative or Lie algebra of finite or countable dimension is embeddable into a two-generator algebra.

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