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Some Equivalences and Dualities via Static Modules

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Author(s): Salah Al-Nofayee | Syed Khalid Nauman

Journal: Advances in Pure Mathematics
ISSN 2160-0368

Volume: 01;
Issue: 06;
Start page: 359;
Date: 2011;
Original page

Keywords: Static Modules | Finitely Cogenerated Injective Modules | Finitely Generated Projective Modules

ABSTRACT
For a ring A, an extension ring B, a fixed right A-module M, the endomorphism ring D formed by M, the endomorphism ring E formed by , and the endomorphism ring F formed by HomA (B,M), we present equivalences and dualities between subcategories of B-modules which are finitely cogenerated injective as A-modules and E-modules and F-modules which are finitely generated projective as D-modules.
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