identity vs personal identity

identity and personal identity both are nouns.

Word	Noun	Adjective	Verb	Adverb
identity	Yes	No	No	No
personal identity	Yes	No	No	No

As nouns, identity and personal identity are synonyms defined as:

identity and personal identity: the distinct personality of an individual regarded as a persisting entity

Other synonyms of identity include individuality.

identity (noun)	personal identity (noun)
the distinct personality of an individual regarded as a persisting entity	the distinct personality of an individual regarded as a persisting entity
exact sameness
the individual characteristics by which a thing or person is recognized or known
an operator that leaves unchanged the element on which it operates