finitely generated object
finitely generated extension
field extension with a finite set of algebra generators
finitely generated abelian group
A commutative group where every element is the sum of elements from one finite subset
finitely generated module
In algebra, a module that has a finite generating set
finitely generated group
group G that has some finite generating set S so that every element of G can be written as the product of finitely many elements of the finite set S and of inverses of such element
finitely generated algebra
algebra over a ring that has a finite set of algebra generators