Definition:Zero Element/Also defined as

Zero Element: Also defined as
Beware of the usage of the term  zero element to mean the identity element under the operation of addition:
 * $a + 0 = a = 0 + a$

While zero is indeed a zero element under the operation of multiplication:
 * $a \times 0 = 0 = 0 \times a$

it is not, strictly speaking, a zero element of addition.