magazine publisher vs publisher

magazine publisher and publisher both are nouns.

Word	Noun	Adjective	Verb	Adverb
magazine publisher	Yes	No	No	No
publisher	Yes	No	No	No

As nouns, publisher is a hypernym of magazine publisher; that is, publisher is a word with a broader meaning than magazine publisher:

Other hypernyms of magazine publisher include publishing company, publishing firm, publishing house.

magazine publisher (noun)	publisher (noun)
a business firm that publishes magazines	a firm in the publishing business
	a person engaged in publishing periodicals or books or music
	the proprietor of a newspaper