letters vs scholarship

letters and scholarship both are nouns.

Word	Noun	Adjective	Verb	Adverb
letters	Yes	No	No	No
scholarship	Yes	No	No	No

As nouns, scholarship is a hypernym of letters; that is, scholarship is a word with a broader meaning than letters:

Other hypernyms of letters include encyclopaedism, encyclopedism, eruditeness, erudition, learnedness, learning.

letters (noun)	scholarship (noun)
the literary culture	profound scholarly knowledge
scholarly attainment	financial aid provided to a student on the basis of academic merit