pease pudding vs pudding

pease pudding and pudding both are nouns.

Word	Noun	Adjective	Verb	Adverb
pease pudding	Yes	No	No	No
pudding	Yes	No	No	No

As nouns, pudding is a hypernym of pease pudding; that is, pudding is a word with a broader meaning than pease pudding:

pease pudding: a pudding made with strained split peas mixed with egg
pudding: any of various soft sweet desserts thickened usually with flour and baked or boiled or steamed

pease pudding (noun)	pudding (noun)
a pudding made with strained split peas mixed with egg	any of various soft sweet desserts thickened usually with flour and baked or boiled or steamed
	any of various soft thick unsweetened baked dishes
	(British) the dessert course of a meal (`pud' is used informally)