Noetherianness of wreath products of Abelian Lie algebras with respect to equations of universal enveloping algebra

• Autores: N. S. Romanovskii, I. P. Shestakov
• Localización: Algebra and logic, ISSN 0002-5232, Vol. 47, Nº. 4, 2008, págs. 269-278
• Idioma: inglés
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• Resumen

  • It is proved that a wreath product of two Abelian finite-dimensional Lie algebras over a field of characteristic zero is Noetherian w.r.t. equations of a universal enveloping algebra. This implies that an index 2 soluble free Lie algebra of finite rank, too, has this property.