Let $S = (X, \times)$ be an D21: Algebraic structure such that

(i)	\begin{equation} X \neq \emptyset \end{equation}

A D2218: Set element $y \in X$ is an identity element in $S$ if and only if

(1)	$\forall \, x \in X : y x = x$	(D537: Left identity element)
(2)	$\forall \, x \in X : x y = x$	(D538: Right identity element)