archaeology vs archeology

archaeology and archeology both are nouns.

Word	Noun	Adjective	Verb	Adverb
archaeology	Yes	No	No	No
archeology	Yes	No	No	No

As nouns, archaeology and archeology are synonyms defined as:

archaeology and archeology: the branch of anthropology that studies prehistoric people and their cultures

archaeology (noun)	archeology (noun)
the branch of anthropology that studies prehistoric people and their cultures	the branch of anthropology that studies prehistoric people and their cultures