Editing Solvable (section)

{{Wiktionary}}
In mathematics, '''solvable''' may refer to:
*[[Solvable group]], a group that can be constructed by compositions of abelian groups, or equivalently a group whose derived series reaches the trivial group in finitely many steps
*[[Solvable extension]], a field extension whose Galois group is a solvable group
*Solvable equation, a [[polynomial equation]] whose Galois group is solvable, or equivalently, one whose solutions may be expressed  by [[nested radical]]s
*[[Solvable Lie algebra]], a Lie algebra whose derived series reaches the zero algebra in finitely many steps
*[[Solvable problem]], a computational problem that can be solved by a Turing machine
*[[Exactly solvable model]] in statistical mechanics, a system whose solution can be expressed in closed form, or alternatively, another name for completely integrable systems