Source: wikibot/fitting-ideal
= Fitting ideal
{wiki=Fitting_ideal}
In the context of algebraic geometry and commutative algebra, a **fitting ideal** is a specific type of ideal associated with a module over a ring. It captures information about the relations between elements of the module. For a finitely generated module \\(M\\) over a Noetherian ring \\(R\\), the Fitting ideals provide a way of understanding the structure of \\(M\\) in terms of its generators and relations.