There is no such thing as an "identity of element". The identity element of multiplication, on the other hand, is the number 1.

An identity element is an element of a set which leaves other elements unchanged when combined with them. For multiplication, the identity element is 1 .

The identity of an element is determined by the number of protons.

0, zero, is defined as the identity element for addition and subtraction.

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While 0 is certainly the identity element with respect to addition, there is no identity element for subtraction. The identity element of a set, for a given operation, must commute with every element of the set.

Since a - 0 ≠ 0 - a, according to group theory, 0 is not an identity with respect to subtraction.

An Identity element in multiplication is one that when you multiply a value by the identity element, that the original value is returned. The only identity element in multiplication is 1. If you multiply any value (other than infinity which is a special case of mathematics), the value returned will be 0. The identity element for addition is 0.