Jewish rye bread vs Jewish rye

Jewish rye bread and Jewish rye both are nouns.

Word	Noun	Adjective	Verb	Adverb
Jewish rye bread	Yes	No	No	No
Jewish rye	Yes	No	No	No

As nouns, Jewish rye bread and Jewish rye are synonyms defined as:

Jewish rye bread and Jewish rye: (Judaism) bread made with rye flour; usually contains caraway seeds

Jewish rye bread (noun)	Jewish rye (noun)
(Judaism) bread made with rye flour; usually contains caraway seeds	(Judaism) bread made with rye flour; usually contains caraway seeds