noun-modifying (irregular)
finitely generated; of finite type
Mathematics term used to describe algebraic structures (groups, modules, algebras) that can be generated by a finite set of elements.
有限生成アーベル群の基本定理は代数学の重要な結果である。
The fundamental theorem of finitely generated abelian groups is an important result in algebra.
This ring is finitely generated over the field.