normal closure
Let be an extension field of . A normal closure of is a field that is a normal extension of and is minimal in that respect, i.e. no proper subfield of containing is normal over . If is an algebraic extension of , then a normal closure for exists and is unique up to isomorphism.
Title | normal closure |
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Canonical name | NormalClosure |
Date of creation | 2013-03-22 13:09:36 |
Last modified on | 2013-03-22 13:09:36 |
Owner | scanez (1021) |
Last modified by | scanez (1021) |
Numerical id | 5 |
Author | scanez (1021) |
Entry type | Definition |
Classification | msc 12F10 |