Regular extension
In field theory, a branch of algebra, a field extension is said to be regular if k is algebraically closed in L and L is separable over k, or equivalently, is an integral domain when is the algebraic closure of .Properties
There is also a similar notion: a field extension is said to be self-regular if is an integral domain. A self-regular extension is relatively algebraically closed in k. However, a self-regular extension is not necessarily regular.
