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radical extension
In mathematics and more specifically in field theory, a radical extension of a field ''K'' is an extension of ''K'' that is obtained by adjoining a sequence of ''n''th roots of elements.
==Definition==
A simple radical extension is a simple extension ''F''/''K'' generated by a single element α satisfying for an element ''b'' of ''K''. In characteristic ''p'', we also take an extension by a root of an Artin–Schreier polynomial to be a simple radical extension. A radical series is a tower where each extension is a simple radical extension.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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