Definitions for identity element
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Princeton's WordNet
identity, identity element, identity operator(noun)
an operator that leaves unchanged the element on which it operates
"the identity under numerical multiplication is 1"
Wiktionary
identity element(Noun)
A member of a structure which, when applied to any other element via a binary operation induces an identity mapping; more specifically, given an operation *, an element I is
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"identity element." Definitions.net. STANDS4 LLC, 2013. Web. 19 May 2013. <http://www.definitions.net/definition/identity element>.