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Results tagged with modules
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user 286155
For questions on modules over rings.
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A Galois connection arising from discussion concerning flat module and pure exact sequence
Let $R$ be a ring (with unit), $\mathcal{R}$ be the class of all right $R$-modules, and $\mathcal{S}$ be the class of all short exact sequences of left $R$-modules. … Secondly, all flat modules should appear in the LHS since
$$^\perp(\varnothing^\perp)=\{\text{flat modules}\}.$$
So we should add these to the RHS “categorically”. …
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