purely inseparable

purely inseparable

[¦pyu̇r·lē in′sep·rə·bəl]
(mathematics)
An element a is said to be purely inseparable over a field F with characteristic p greater than 0 if it is algebraic over F and if there exists a nonnegative integer n such that ap n lies in F.
References in periodicals archive ?
Some subjects examined include purely inseparable k-forms of affine algebraic curves, bad field generators, coordinates in ideals of polynomial algebras, and equivariant cancellation for algebraic varieties.