Source: wikibot/finitely-generated-algebra
= Finitely generated algebra
{wiki=Finitely_generated_algebra}
A **finitely generated algebra** is a specific type of algebraic structure that is built from a vector space over a field (often denoted \\( K \\)) by introducing a multiplication operation. The key aspect of a finitely generated algebra is that it can be constructed using a finite number of generators. More formally, let \\( A \\) be a vector space over a field \\( K \\).