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arxiv: 1510.02714 · v1 · pith:LHVI4GGNnew · submitted 2015-10-09 · 🧮 math.RA · math.CT· math.RT

On an injectivity lemma in the proof of Tannakian duality

classification 🧮 math.RA math.CTmath.RT
keywords algebrasdualityinjectivitylemmaproofshorttannakiancase
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In this short work we give a very short and elementary proof of the injectivity lemma, which plays an important role in the Tannakian duality for Hopf algebras over a field. Based on this we provide some generalizations of this fact to the case of flat algebras over a noetherian domain.

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