Author(s)

Salah Al-Nofayee, Syed Khalid Nauman

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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_A (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.

Static Modules, Finitely Cogenerated Injective Modules, Finitely Generated Projective Modules

S. Al-Nofayee and S. Nauman, "Some Equivalences and Dualities via Static Modules," Advances in Pure Mathematics, Vol. 1 No. 6, 2011, pp. 359-362. doi: 10.4236/apm.2011.16064.