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This paper is to study how to construct Frobenius pairs over a Morita ring Formula: see text. Given Frobenius pairs Formula: see text and Formula: see text in Formula: see text and Formula: see text, respectively, we construct Frobenius pairs Formula: see text and Formula: see text in Formula: see text under some conditions. As an application, we establish a sufficient and necessary condition of Gorenstein projective modules over the Morita ring Formula: see text.
Liang et al. (Thu,) studied this question.