Assertion: abelian group | /r/HasProperty | generated
Facets:
value: finitely
type: DEGREE
value: in abstract algebra
type: OTHER
Source sentences:
text: An abelian group A is finitely generated if it contains a finite set of elements (called generators)
text: In abstract algebra, an abelian group (G, +) is called finitely generated if there exist finitely many elements x 1 , ...,
text: So from all the above definitions, it seems that the notion of rank is defined for any abelian group that is finitely generated.
text: An abelian group G is finitely generated if there are elements such that every element can be written as