abatement of a nuisance vs nuisance abatement

abatement of a nuisance and nuisance abatement both are nouns.

Word	Noun	Adjective	Verb	Adverb
abatement of a nuisance	Yes	No	No	No
nuisance abatement	Yes	No	No	No

As nouns, abatement of a nuisance and nuisance abatement are synonyms defined as:

abatement of a nuisance and nuisance abatement: (law) the removal or termination or destruction of something that has been found to be a nuisance

abatement of a nuisance (noun)	nuisance abatement (noun)
(law) the removal or termination or destruction of something that has been found to be a nuisance	(law) the removal or termination or destruction of something that has been found to be a nuisance