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A Generalization of Watts's Theorem: Right Exact Functors on Module Categories

A Generalization of Watts's Theorem: Right Exact Functors on Module Categories

Watts's Theorem says that a right exact functor that commutes with direct sums is isomorphic to − ⊗RB, where B is the R-S-bimodule FR. The main result in this article is the following one: If is a cocomplete category and is a right exact functor commuting with direct sums, then …