identity element
Noun
Meaning
an operator that leaves unchanged the element on which it operates
Source: WordNetSynonyms
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Examples
A ring of polynomials in any number of variables over a ring of coeffcients that has an identity element and a finite basis, itself has a finite basis.
the identity under numerical multiplication is 1
This identity is of prime importance in simplifying algebraic expressions: :: ; Identity element : The multiplicative identity is 1; anything multiplied by one is itself.