cheddar cheese vs Armerican cheddar

cheddar cheese and Armerican cheddar both are nouns.

Word	Noun	Adjective	Verb	Adverb
cheddar cheese	Yes	No	No	No
Armerican cheddar	Yes	No	No	No

As nouns, cheddar cheese and Armerican cheddar are synonyms defined as:

cheddar cheese and Armerican cheddar: hard smooth-textured cheese; originally made in Cheddar in southwestern England

Other synonyms of cheddar cheese include American cheese, cheddar.

cheddar cheese (noun)	Armerican cheddar (noun)
hard smooth-textured cheese; originally made in Cheddar in southwestern England	hard smooth-textured cheese; originally made in Cheddar in southwestern England