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| inverse element ： ウィキペディア英語版 |
inverse element
In abstract algebra, the idea of an inverse element generalises concepts of a negation (sign reversal) in relation to addition, and a reciprocal in relation to multiplication. The intuition is of an element that can 'undo' the effect of combination with another given element. While the precise definition of an inverse element varies depending on the algebraic structure involved, these definitions coincide in a group.
The word 'inverse' is derived from (ラテン語:inversus) that means 'turned upside down', 'overturned'.
== Formal definitions ==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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