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Everything about Exact functor
Functor that preserves short exact sequences
In mathematics, particularly homological algebra, an exact functor is a functor that preserves short exact sequences. Exact functors are convenient for algebraic calculations because they can be directly applied to presentations of objects. Much of the work in homological algebra is designed to cope with functors that fail to be exact, but in ways that can still be controlled. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Exact functorA 5-minute orientation
- Pick up a classic book: Surveys in Representation Theory of AlgebrasThe most-reprinted book on the subject
- Read the landmark paper: The exact functor theorem for ${BP_* }/ {I_n }$-theoryCited 8 times
- Go sideways: Category of abelian groupsA closely related topic
- Go sideways: Derived functorA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The exact functor theorem for ${BP_* }/ {I_n }$-theory
The bivariant long exact sequence for the ext functor
Locale morphisms with exact direct image functor in sheaves
The exact sequence for a monoidal functor between closed categories
The Inverse Limit and First Derived Functor, A Short Exact Sequence
The inverse limit and first derived functor, a short exact sequence
Transfer of homological objects in exact categories via adjoint triples. Applications to functor categories
Reversibility and current recognition for the exact essential image of the twisted quantum Frenkel–Kac functor
đź“š Books worth reading
- 📕Surveys in Representation Theory of AlgebrasAlex Martsinkovsky, Kiyoshi Igusa · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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