2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123325We introduce a new class of possibly infinite dimensional Lie algebras and study their structural properties. Examples of this new class of Lie algebras are finite dimensional simple Lie algebras containing a nonzero split torus, affine and extended affine Lie algebras. Our results generalize well-known properties of these examples.25 pagesQuantum Algebra17B65text