Definition:Zero Element/Also known as

Zero Element: Also known as
A zero element is also sometimes called an annihilator, but this term has a more specific definition in the context of linear algebra.

Some sources use the term absorbing element.

When discussing an algebraic structure $S$ which has a zero element, then this zero is often denoted $z_S$, $n_S$ or $0_S$.

If it is clearly understood what structure is being discussed, then $z$, $n$ or $0$ are usually used.