Editing Universal enveloping algebra (section)

===Other algebras===
Although the canonical construction, given above, can be applied to other algebras, the result, in general, does not have the universal property. Thus, for example, when the construction is applied to [[Jordan algebra]]s, the resulting enveloping algebra contains the [[special Jordan algebra]]s, but not the exceptional ones: that is, it does not envelope the [[Albert algebra]]s. Likewise, the Poincaré–Birkhoff–Witt theorem, below, constructs a basis for an enveloping algebra; it just won't be universal. Similar remarks hold for the [[Lie superalgebra]]s.