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A Module is Flat if and Only if its Character Module is Injective
J. Lambek
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Source: Crossref
Published: Jun 1, 1964
DOI: 10.4153/cmb-1964-021-9
Open original source ↗Source abstract
The purpose of this expository note is to establish the fact mentioned in the title. While this is not difficult and requires no new ideas, it seems worth doing, as such a simple characterization does not appear explicitly in a recent treatise on the subject of flat modules [Bourbaki XXVII, Chapter 1].
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