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- W1852625695 abstract "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 F is isomorphic to − ⊗Rℱ, where ℱ is a suitable R-module in , i.e., a pair (ℱ, ρ) consisting of an object and a ring homomorphism . Part of the point is to give meaning to the notation − ⊗Rℱ. That is done in the article by Artin and Zhang [1 Artin, M., Zhang, J. J. (2001). Abstract hilbert schemes. Alg. and Repn. Theory 4: 305–394.[Crossref], [Web of Science ®] , [Google Scholar]] on Abstract Hilbert Schemes. The present article is a natural extension of some of the ideas in the first part of their article." @default.
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- W1852625695 date "2016-06-01" @default.
- W1852625695 modified "2023-09-27" @default.
- W1852625695 title "A Generalization of Watts's Theorem: Right Exact Functors on Module Categories" @default.
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- W1852625695 doi "https://doi.org/10.1080/00927872.2015.1065873" @default.
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