put up vs erect

put up is not an adjective while erect is an adjective.

Word	Noun	Adjective	Verb	Adverb
put up	No	No	Yes	No
erect	No	Yes	Yes	No

As verbs, put up and erect are synonyms defined as:

Other synonyms of put up include raise, rear, set up.

put up (adjective)	erect (adjective)
	upright in position or posture
	of sexual organs; stiff and rigid

put up (verb)	erect (verb)
preserve in a can or tin	construct, build, or erect
put up with something or somebody unpleasant	cause to rise up
propose as a candidate for some honor
place so as to be noticed
construct, build, or erect
make available for sale at an auction
provide
provide someone with accomodation
mount or put up