TITLE:
Some Equivalences and Dualities via Static Modules
AUTHORS:
Salah Al-Nofayee, Syed Khalid Nauman
KEYWORDS:
Static Modules, Finitely Cogenerated Injective Modules, Finitely Generated Projective Modules
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.6,
November
24,
2011
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.