hard cider vs cyder

hard cider and cyder both are nouns.

Word	Noun	Adjective	Verb	Adverb
hard cider	Yes	No	No	No
cyder	Yes	No	No	No

As nouns, cyder is a hypernym of hard cider; that is, cyder is a word with a broader meaning than hard cider:

hard cider: alcoholic drink from fermented cider; `cider' and `cyder' are European (especially British) usages for the fermented beverage
cyder: a beverage made from juice pressed from apples

Other hypernyms of hard cider include alcohol, alcoholic beverage, alcoholic drink, inebriant, intoxicant, cider.

hard cider (noun)	cyder (noun)
alcoholic drink from fermented cider; `cider' and `cyder' are European (especially British) usages for the fermented beverage	a beverage made from juice pressed from apples