mag vs public press

mag and public press both are nouns.

Word	Noun	Adjective	Verb	Adverb
mag	Yes	No	No	No
public press	Yes	No	No	No

As nouns, public press is a hypernym of mag; that is, public press is a word with a broader meaning than mag:

mag: a periodic publication containing pictures and stories and articles of interest to those who purchase it or subscribe to it
public press: the print media responsible for gathering and publishing news in the form of newspapers or magazines

Other hypernyms of mag include press, publication.

mag (noun)	public press (noun)
a periodic publication containing pictures and stories and articles of interest to those who purchase it or subscribe to it	the print media responsible for gathering and publishing news in the form of newspapers or magazines