Definition:Zero Element/Also known as
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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.
Sources
- 1965: J.A. Green: Sets and Groups ... (previous) ... (next): $\S 4.3$. Units and zeros: Definition $2$