1. homological - Adjective
2. homological - Adjective Satellite
Pertaining to homology; having a structural affinity proceeding from, or base upon, that kind of relation termed homology.
Source: Webster's dictionaryA morphism f:A → B of rings is a homological epimorphism if it is an epimorphism and it induces a full and faithfull functor on derived categories: D(f) : D(B) → D(A). Source: Internet
There is also the notion of homological epimorphism in ring theory. Source: Internet