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pure subgroup : ウィキペディア英語版 | pure subgroup In mathematics, especially in the area of algebra studying the theory of abelian groups, a pure subgroup is a generalization of direct summand. It has found many uses in abelian group theory and related areas. ==Definition== A subgroup of a (typically abelian) group is said to be pure if whenever an element of has an root in , it necessarily has an root in .
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「pure subgroup」の詳細全文を読む
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