Word.ws English Dictionary

factor through

factor through verb: 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").

Verb

factor through (third-person singular simple present factors through, present participle factoring through, simple past and past participle factored through)

  1. 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").
    • LEMMA 16.3 An arrow f#58;A#92;rightarrowB is epic iff 1#95;B is the smallest sub-object of B that f factors through.1995, Colin McLarty, Elementary Categories, Elementary Toposes, page 142

Forms of factor through

third-person singular presentfactors through
present participlefactoring through
past participlefactored through
pastfactored through

Questions about factor through

What does factor through mean?
Factor through means 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").
What part of speech is factor through?
Factor through is a verb.
What is the past tense of factor through?
The past tense of factor through is factored through.

Words near factor through in the dictionary

  1. factor out
  2. factor ring
  3. factor rings
  4. factor space
  5. factor spaces
  6. factor through
  7. factor VII
  8. factor VIII
  9. factorability
  10. factorable
  11. factoradic

Source and license

Adapted from Wiktionary: factor through (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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