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Keywords:
$GF$-closed ring; $G_C$-flat module; $G_C$-flat dimension; semidualizing module
$GF$-closed ring; $G_C$-flat module; $G_C$-flat dimension; semidualizing module
Summary:
In this paper, we study some properties of $G_C$-flat $R$-modules, where $C$ is a semidualizing module over a commutative ring $R$ and we investigate the relation between the $G_C$-yoke with the $C$-yoke of a module as well as the relation between the $G_C$-flat resolution and the flat resolution of a module over $GF$-closed rings. We also obtain a criterion for computing the $G_C$-flat dimension of modules.
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