In field theory, a branch of algebra, a primary extension L of K is a field extension such that the algebraic closure of K in L is purely inseparable over K. == Properties == An extension L/K is primary if and only if it is linearly disjoint from the separable closure of K over K. A subextension of a primary extension is primary. A primary extension of a primary extension is primary (transitivity).
In field theory, a branch of algebra, a primary extension L of K is a field extension such that the algebraic closure of K in L is purely inseparable over K. == Properties == An extension L/K is primary if and only if it is linearly disjoint from the separable closure of K over K. A subextension of a primary extension is primary. A primary extension of a primary extension is primary (transitivity).
Source: Wikipedia "Primary extension" · CC BY-SA 4.0
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