factorizable
Factorizable is an adjective used in mathematics to describe objects that can be written as a product of two or more factors of the same kind. Whether an object is considered factorizable depends on the algebraic setting and on what counts as a trivial factor, typically a unit or invertible element. If no nontrivial factorization exists, the object is described as irreducible or prime in its context.
In ring theory and number theory, a nonzero nonunit element is factorizable if it can be expressed
In polynomial rings, a polynomial is factorizable over a given field if it can be written as
In linear algebra and operator theory, factorizations express an object as a product of simpler ones. Matrix
Overall, factorizability describes the potential to decompose an object into simpler components, with precise meaning tied