bn:03406178n
Noun Concept
EL
finitely δημιουργείται ομάδα abelian  finitely δημιουργούνται abelian ομάδα  θεμελιώδες θεώρημα των πεπερασμένα παραγομένων abelian ομάδες
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}}. Wikipedia
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