Separability may refer to: Mathematics Separable algebra, a generalization to associative algebras of the notion of a separable field extension Separable differential equation, in which separation of variables is achieved by various means Separable extension, in field theory, an algebraic field extension Separable filter, a product of two or more simple filters in image processing Separable ordinary differential equation, a class of equations that can be separated into a pair of integrals Separable partial differential equation, a class of equations that can be broken down into differential equations in fewer independent variables Separable permutation, a permutation that can be obtained by direct sums and skew sums of the trivial permutation Separable polynomial, a polynomial whose number of distinct roots is equal to its degree Separable sigma algebra, a separable space in measure theory Separable space, a topological space that contains a countable, dense subset Linear separability, a geometric property of a pair of sets of points in Euclidean geometry Recursively inseparable sets, in computability theory, pairs of sets of natural numbers that cannot be "separated" with a recursive set Other uses Separable states, in quantum mechanics, states without quantum entanglement Separation process, in chemistry, a method that converts a mixture of substances into two or more distinct product mixtures