English Dictionary

identity element

名詞

(algebra) An element of an algebraic structure which when applied, in either order, to any other element via a binary operation yields the other element.

日本語の意味

代数構造において、任意の要素と二項演算を行ったとき、元の要素がそのまま返される特別な元。通常『単位元』と呼ばれます。

In any group, the identity element, when combined with another element, returns that element unchanged.

任意の群において、単位元は他の元と結合してもその元を変えずに返します。

意味（1）

(algebra) An element of an algebraic structure which when applied, in either order, to any other element via a binary operation yields the other element.

Therefore the number 0 is not considered an identity element for subtraction, even though x-0=x for all x, since 0-x ne x.

identity elements （ plural ）