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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
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2162246
Page Count: 8
You can always find the topics here!Topics: Algebra, Induced substructures, Mathematical theorems, Mathematical rings, Logical proofs, Homomorphisms, Mathematics, Subrings, Polynomials, Vector spaces
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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.
Proceedings of the American Mathematical Society © 1997 American Mathematical Society