Schoolman vs scholar

Schoolman and scholar both are nouns.

Word	Noun	Adjective	Verb	Adverb
Schoolman	Yes	No	No	No
scholar	Yes	No	No	No

As nouns, scholar is a hypernym of Schoolman; that is, scholar is a word with a broader meaning than Schoolman:

Schoolman: a scholar in one of the universities of the Middle Ages; versed in scholasticism
scholar: a learned person; someone who by long study has gained mastery in one or more disciplines

Other hypernyms of Schoolman include bookman, scholarly person.

Schoolman (noun)	scholar (noun)
a scholar in one of the universities of the Middle Ages; versed in scholasticism	a learned person; someone who by long study has gained mastery in one or more disciplines
	someone (especially a child) who learns (as from a teacher) or takes up knowledge or beliefs
	a student who holds a scholarship