摘要
设G为有单位元e的群R=(?)和A=(?)都是有单位元的G型强分次环,U=(?)U_z是分次(R,A)一双模.本文主要证明了_(R)U_A导出一个Gr—Morita对偶当且仅当(?)导出一个Morita对偶.
Let G be a group with identity e. Let R=x∈G Rx and A = x∈G Ax be strongly gradedrings of type G with identity, respectively, and U =x∈G Ux be a graded (R, A)-bimodule.It is shown that RUA induces a gr-Morita duality iff ReUeAc induces a Morita duality.