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Slender group : ウィキペディア英語版 | Slender group In mathematics, a slender group is a torsion-free abelian group that is "small" in a sense that is made precise in the definition below. == Definition ==
Let ZN denote the Baer–Specker group, that is, the group of all integer sequences, with termwise addition. For each ''n'' in N, let ''e''''n'' be the sequence with ''n''-th term equal to 1 and all other terms 0. A torsion-free abelian group ''G'' is said to be slender if every homomorphism from ZN into ''G'' maps all but finitely many of the ''e''''n'' to the identity element.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Slender group」の詳細全文を読む
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