2005Fudan xuebao. Ziran Kexue banRequires access

Representations of Additive Functors over Functor Categories

Kuang Min

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Abstract

A theorem on natural equivalences between a right exact additive functor F which preserves sums and some tensor functor B over functor categories is given.The result obtained generalizes the known Watts Theorem over module categories to functor categories.

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What this paper is about

A theorem on natural equivalences between a right exact additive functor F which preserves sums and some tensor functor B over functor categories is given.The result obtained generalizes the known Watts Theorem over module categories to functor categories.

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Available abstract

A theorem on natural equivalences between a right exact additive functor F which preserves sums and some tensor functor B over functor categories is given.The result obtained generalizes the known Watts Theorem over module categories to functor categories.

Key concepts: Functor, Mathematics, Exact functor, Natural transformation, Functor category, Pure mathematics, Derived functor, Adjoint functors

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