Définitions
1.AdjectiveAble to be separated.
2.AdjectiveAble to be brought to a form where all occurrences of the dependent and the independent variable are on opposite sides of the equal sign.
3.AdjectiveHaving a countable dense subset.
4.AdjectiveAny of several technical senses relating to the behavior of polynomials or objects over which polynomials can be defined:
Having no repeated roots (where roots are considered in an algebraic closure)"
x
2
+
1
{\displaystyle x^{2}+1}
is separable, since its roots are
i
{\displaystyle i}
and
−
i
{\displaystyle -i}
."
5.AdjectiveHaving no repeated roots (where roots are considered in an algebraic closure)"
x
2
+
1
{\displaystyle x^{2}+1}
is separable, since its roots are
i
{\displaystyle i}
and
−
i
{\displaystyle -i}
."
6.AdjectiveSuch that none of the irreducible factors of
P
{\displaystyle P}
have a repeated root.
7.AdjectiveSuch that the minimal polynomial of every element of
E
{\displaystyle E}
is a separable polynomial.
8.AdjectiveSatisfying any of several technical conditions on the center of the algebra which generalize the situation of field extensions; see Separable algebra on Wikipedia.Wikipedia