rightism vs ideology

rightism and ideology both are nouns.

Word	Noun	Adjective	Verb	Adverb
rightism	Yes	No	No	No
ideology	Yes	No	No	No

As nouns, ideology is a hypernym of rightism; that is, ideology is a word with a broader meaning than rightism:

rightism: the ideology of the political right; belief in or support of the tenets of the political right
ideology: an orientation that characterizes the thinking of a group or nation

Other hypernyms of rightism include political orientation, political theory.

rightism (noun)	ideology (noun)
the ideology of the political right; belief in or support of the tenets of the political right	an orientation that characterizes the thinking of a group or nation
	imaginary or visionary theorization