## Some results on $$G_C$$-flat dimension of modules.(English)Zbl 07144887

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.

### MSC:

 18G20 Homological dimension (category-theoretic aspects) 18G25 Relative homological algebra, projective classes (category-theoretic aspects)
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### References:

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