Last Updated
：2025/11/29
factor through
Verb
Japanese Meaning
（圏論において）ある射が、与えられた射を含む2つの射の合成として表されることを意味する。 / すなわち、対象間の射が、ある中間の対象を介して分解（＝因数分解）される形になっている、という性質を指す。
（ present singular third-person ）
（ participle present ）
（ participle past ）
（ past ）
Quizzes for review
(category theory) Said of a morphism: to be equal to a composition of two morphisms, one of which is the given morphism (that is being said to be factored through
).
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factor through
To verify the lemma, we need to determine whether the morphism f can factor through the monomorphism i in this category.
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To verify the lemma, we need to determine whether the morphism f can factor through the monomorphism i in this category.
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