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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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