Definition:Left Zero

Definition

Let $\left({S, \circ}\right)$ be an algebraic structure.

An element $z_L \in S$ is called a left zero element (or just left zero) iff:

$\forall x \in S: z_L \circ x = z_L$

Also see

• Right zero

Sources

• J.A. Green: Sets and Groups (1965)... (previous)... (next): Exercise $4.6$
• W.E. Deskins: Abstract Algebra (1964): Exercise $1.4: \ 10$