Let $f\colon A \to B$, $g\colon A \to C$ be two ring epimorphisms. What does it mean when one says that these two factor into another ring epimorphism $h\colon B \to C$? I'm guessing that it means that this $h$ is the unique epimorphism such that $g = h\circ f$, but I'm not sure and I haven't found any definition for this concept.
2026-03-25 11:06:24.1774436784
What does "factoring" mean in the context of ring epimorphisms?
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