The term normal closure is used in two senses in mathematics:
- In group theory, the normal closure of a subset of a group is the smallest normal subgroup that contains the subset; see conjugate closure.
- In field theory, the normal closure of an algebraic extension F/K is an extension field L of F such that L/K is normal and L is minimal with this property. See normal extension.
Famous quotes containing the word normal:
“Our normal waking consciousness, rational consciousness as we call it, is but one special type of consciousness, whilst all about it, parted from it by the filmiest of screens, there lie potential forms of consciousness entirely different.”
—William James (1842–1910)