art vs carving

art and carving both are nouns.

Word	Noun	Adjective	Verb	Adverb
art	Yes	No	No	No
carving	Yes	No	No	No

As nouns, carving is a hyponym of art; that is, carving is a word with a more specific, narrower meaning than art:

art (noun)	carving (noun)
the creation of beautiful or significant things	creating figures or designs in three dimensions
the products of human creativity; works of art collectively	removing parts from hard material to create a desired pattern or shape
a superior skill that you can learn by study and practice and observation	a sculpture created by removing material (as wood or ivory or stone) in order to create a desired shape
photographs or other visual representations in a printed publication