generalship vs leadership

generalship and leadership both are nouns.

Word	Noun	Adjective	Verb	Adverb
generalship	Yes	No	No	No
leadership	Yes	No	No	No

As nouns, leadership is a hypernym of generalship; that is, leadership is a word with a broader meaning than generalship:

generalship (noun)	leadership (noun)
the office and authority of a general	the activity of leading
the leadership ability of a military general	the ability to lead
	the body of people who lead a group
	the status of a leader