Regular extension

In field theory, a branch of algebra, a field extension

is said to be regular if k is algebraically closed in L (i.e.,

is the set of elements in L algebraic over k) and L is separable over k, or equivalently,

is an integral domain when

[1][2] There is also a similar notion: a field extension

A self-regular extension is relatively algebraically closed in k.[6] However, a self-regular extension is not necessarily regular.

[citation needed] This abstract algebra-related article is a stub.