Exact functor
Functor that preserves short exact sequences / From Wikipedia, the free encyclopedia
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This article is about exact functors in homological algebra. For exact functors between regular categories, see regular category.
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.