In set theory, the successor of an ordinal number α is the smallest ordinal number greater than α.

Party legally assuming another's rights.

Leader following Peter in papacy.

(media) an often-translated epithet for Kim Jong-un.

A spiritual successor (sometimes called a spiritual sequel) is a product or fictional work that is similar to, or directly inspired by, another previous product or work, but (unlike a traditional prequel or sequel) does not explicitly continue the product line or media franchise of its predecessor, and is thus only a successor "in spirit".