Any representation of a finite Lie algebra can be decomposed into a direct sum of representations with this property.
An n-dimensional manifold has this property if any embedded sphere of dimension n minus 1 bounds a ball of dimension n. Any representation of a finite Lie algebra can be decomposed into a direct sum of representations with this property. A topological space has this property if and only if its not the union of two proper subsets, and one way of showing that a ring has this property is to show that its prime spectrum has it. A method of testing whether polynomials have this property relies on showing that there exists a prime p that divides all coefficients except the leading one, and that the constant term isn't divided by the square of that prime; that is known as Eisenstein's criterion. The fundamental theorem of algebra says that all polynomials with order less than two have this property over the complex numbers. For 10 points, name this property, which for a fraction occurs when the numerator and denominator has no common factors.
An n-dimensional manifold has this property if any embedded sphere of dimension n minus 1 bounds a ball of dimension
{Irreducible} (word forms {ok})