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Some Equivalences and Dualities via Static Modules
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 359–362·Published 24 November 2011·DOI10.4236/apm.2011.16064
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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 Hom<sub>A</sub> (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.
KeywordsStatic ModulesFinitely Cogenerated Injective ModulesFinitely Generated Projective Modules
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