HNN-EXTENSIONS OF LIE-ALGEBRAS

Authors
LICHTMAN AI SHIRVANI M
Citation
Ai. Lichtman et M. Shirvani, HNN-EXTENSIONS OF LIE-ALGEBRAS, Proceedings of the American Mathematical Society, 125(12), 1997, pp. 3501-3508
Citations number
17
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
12
Year of publication
1997
Pages
3501 - 3508
Database
ISI
SICI code
0002-9939(1997)125:12<3501:HOL>2.0.ZU;2-I
Abstract
We define HNN-extensions of Lie algebras and study their properties. I n particular. a sufficient condition for freeness of subalgebras is ob tained. We also study differential HNN-extensions of associative rings . These constructions are used to give short proofs of Malcev's and Sh irshov's theorems that an associative or Lie algebra of finite or coun table dimension is embeddable into a two-generator algebra.