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A local duality theorem for categories of modules

Authors:	M B Zvyagina

Abstract:	Let Λ be an associative ring with identity and let $_\Lambda \mathfrak{M}$ be the category of left unitary Λ-modules. A subcateqory $\mathcal{M}$ of the category $_\Lambda \mathfrak{M}$ is said to be small if the pairwise nonisomorphic objects of $\mathcal{M}$ form a set. The main result of this paper consists of the fact that for every small full subcategory $\mathcal{M}$ , there exists a ring Γ such that $\mathcal{M}$ is dual to a small full subcategory of the category $_\Gamma \mathfrak{M}$ . Some applications of this result are indicated. Bibliography: 3 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 227, 1995, pp. 66–73.

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