inscribe vs register

inscribe is not a noun while register is a noun.

Word	Noun	Adjective	Verb	Adverb
inscribe	No	No	Yes	No
register	Yes	No	Yes	No

As verbs, register is a hypernym of inscribe; that is, register is a word with a broader meaning than inscribe:

inscribe: register formally as a participant or member
register: record in writing; enter into a book of names or events or transactions

As verbs, register is a hyponym of inscribe; that is, register is a word with a more specific, narrower meaning than inscribe:

Other hyponyms of inscribe include draft, enlist, muster in, unionise, unionize, matriculate.

inscribe (noun)	register (noun)
	a regulator (as a sliding plate) for regulating the flow of air into a furnace or other heating device
	an air passage (usually in the floor or a wall of a room) for admitting or excluding heated air from the room
	a cashbox with an adding machine to register transactions; used in shops to add up the bill
	(computer science) memory device that is the part of computer memory that has a specific address and that is used to hold information of a specific kind
	(music) the timbre that is characteristic of a certain range and manner of production of the human voice or of different pipe organ stops or of different musical instruments
	an official written record of names or events or transactions
	a book in which names and transactions are listed

inscribe (verb)	register (verb)
mark with one's signature	enter into someone's consciousness
address, (a work of literature) in a style less formal than a dedication	indicate a certain reading; of gauges and instruments
write, engrave, or print as a lasting record	record in a public office or in a court of law
convert ordinary language into code	send by registered mail
carve, cut, or etch into a material or surface	manipulate the registers of an organ
draw within a figure so as to touch in as many places as possible	be aware of
register formally as a participant or member	show in one's face
	record in writing; enter into a book of names or events or transactions
	enroll to vote
	have one's name listed as a candidate for several parties