Definition:Right Zero

Definition

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

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

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

Also see

• Left zero

Sources

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