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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3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
For left proflat topological ring epimorphisms, restriction of scalars on contramodules is fully faithful and the forgetful square is a pseudopullback.
Differential operators on polynomial algebras in infinitely many variables over a field can realize every ordinal as their order via various torsion module notions for infinitely generated ideals.
citing papers explorer
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A relative version of Bass' theorem about finite-dimensional algebras
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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Homomorphisms of topological rings and change-of-scalar functors
For left proflat topological ring epimorphisms, restriction of scalars on contramodules is fully faithful and the forgetful square is a pseudopullback.
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Torsion modules and differential operators in infinitely many variables
Differential operators on polynomial algebras in infinitely many variables over a field can realize every ordinal as their order via various torsion module notions for infinitely generated ideals.