Some Equivalences and Dualities via Static 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.
Share and Cite:
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.