ironmonger's shop vs hardware store

ironmonger's shop and hardware store both are nouns.

Word	Noun	Adjective	Verb	Adverb
ironmonger's shop	Yes	No	No	No
hardware store	Yes	No	No	No

As nouns, ironmonger's shop and hardware store are synonyms defined as:

Other synonyms of ironmonger's shop include ironmonger.

ironmonger's shop (noun)	hardware store (noun)
a store selling hardware	a store selling hardware