nouns
the distinct personality of an individual regarded as a persisting entity
"you can lose your identity when you join the army"
the individual characteristics by which a thing or person is recognized or known
"geneticists only recently discovered the identity of the gene that causes it"; "it was too dark to determine his identity"; "she guessed the identity of his lover"
is a type of (narrower)
the process of recognizing something or someone by remembering
"a politician whose recall of names was as remarkable as his recognition of faces"; "experimental psychologists measure the elapsed time from the onset of the stimulus to its recognition by the observer"
an operator that leaves unchanged the element on which it operates
"the identity under numerical multiplication is 1"
exact sameness
"they shared an identity of interests"