# identity element definition

• noun:
• The part of a set of figures that when combined with another quantity in a specific procedure renders that quantity unchanged. Like, 0 may be the identification factor under addition for real numbers, since if a is any genuine number, a + 0 = 0 + a = a. Similarly, 1 is the identity element under multiplication when it comes to genuine figures, since a × 1 = 1 × a = a. Also called unity.
• an associate of a structure which, when placed on some other factor via a binary procedure causes an identity mapping; much more especially, offered a procedure *, a feature I is
• an operator that makes unchanged the element which it operates

## Related Sources

• Hypernym for "identity element"
• operator
• Etymologically Related for "identity element"
• neutral element