ES
grupo abeliano de tipo finito grupo abeliano finitamente generado generación finita grupo abeliano teorema fundamental de grupos abelianos finitamente generados
EN
In abstract algebra, an abelian group is called finitely generated if there exist finitely many elements x 1, …, x s {\displaystyle x_{1},\dots,x_{s}} in G G such that every x x in G G can be written in the form x = n 1 x 1 + n 2 x 2 + ⋯ + n s x s {\displaystyle x=n_{1}x_{1}+n_{2}x_{2}+\cdots +n_{s}x_{s}} for some integers n 1, …, n s {\displaystyle n_{1},\dots,n_{s}}.
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