Abstract

ABSTRACT In this paper we prove that a graded triangular extension over a ring with a left Morita duality has a left graded Morita duality. And we prove that a graded trivial extension A of a ring R by an ( R , R )-bimodule has a rigid graded left Morita duality induced by a graded left A -module if and only if both and are linearly compact as left R -modules for every g∈G , if R has a left Morita duality induced by a left R -module E .

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