Finitely generated
Encyclopedia
In mathematics, finitely generated may refer to:
- Finitely generated group
- Finitely generated monoid
- Finitely generated abelian groupFinitely generated abelian groupIn abstract algebra, an abelian group is called finitely generated if there exist finitely many elements x1,...,xs in G such that every x in G can be written in the formwith integers n1,...,ns...
- Finitely generated module
- Finitely generated ideal
- Finitely generated algebraFinitely generated algebraIn mathematics, a finitely generated algebra is an associative algebra A over a field K where there exists a finite set of elements a1,…,an of A such that every element of A can be expressed as a polynomial in a1,…,an, with coefficients in K...
- Finitely generated space