Let R be a G-graded ring, M a G-graded Sigma-quasiprojective R-module, and E = ENDR(M) its graded ring, of endomorphisms. For any subgroup H of G, we prove that certain full subcategories of G/H-graded R-modules associated with M are equivalent to a quotient category of G/H-graded E-modules determined by the idempotent G-graded ideal of E consisting of endomorphisms which factor through a finitely generated submodule of M. Properties and applications of these equivalences are also examined. References: 20
展开▼
