### Some articles on *exact, left exact, left*:

Derived Functor - Naturality

... Derived functors and the long

... Derived functors and the long

**exact**sequences are "natural" in several technical senses ... where the rows are**exact**), the two resulting long**exact**sequences are related by commuting squares Second, suppose η F → G is a natural transformation from ... indeed Ri becomes a functor from the functor category of all**left exact**functors from A to B to the full functor category of all functors from A to B ...Exact Functor - Properties and Theorems

... equivalence or duality of abelian categories is

... equivalence or duality of abelian categories is

**exact**... not necessarily additive) functor is**left exact**if and only if it turns finite limits into limits a covariant functor is right**exact**if and only if it turns finite colimits into ... A functor is**exact**if and only if it is both**left exact**and right**exact**...Resolution (algebra) - Acyclic Resolution

... situations, the notion of acyclic resolutions is used given a

... situations, the notion of acyclic resolutions is used given a

**left exact**functor F A → B between two abelian categories, a resolution of an object M ... Dually, a**left**resolution is acyclic with respect to a right**exact**functor if its derived functors vanish on the objects of the resolution ... For example, given a R module M, the tensor product is a right**exact**functor Mod(R) → Mod(R) ...### Famous quotes containing the words exact and/or left:

“In the long-run every Government is the *exact* symbol of its People, with their wisdom and unwisdom; we have to say, Like People like Government.”

—Thomas Carlyle (1795–1881)

“Protestantism has the method of Jesus with His secret too much *left* out of mind; Catholicism has His secret with His method too much *left* out of mind; neither has His unerring balance, His intuition, His sweet reasonableness. But both have hold of a great truth, and get from it a great power.”

—Matthew Arnold (1822–1888)

Main Site Subjects

Related Phrases

Related Words