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math.RA 1

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A relative version of Bass' theorem about finite-dimensional algebras

math.RA · 2025-07-21 · unverdicted · novelty 7.0

For ring homomorphisms R to A with A finitely generated projective right R-module, flat left A-modules are direct summands of filtered A-modules induced from flat R-modules, and A-modules are cotorsion iff their underlying R-modules are.

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  • A relative version of Bass' theorem about finite-dimensional algebras math.RA · 2025-07-21 · unverdicted · none · ref 7

    For ring homomorphisms R to A with A finitely generated projective right R-module, flat left A-modules are direct summands of filtered A-modules induced from flat R-modules, and A-modules are cotorsion iff their underlying R-modules are.