On an injectivity lemma in the proof of Tannakian duality
arXiv:1510.02714 · doi:10.1142/S021949881650167X
Abstract
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.
9 pages, accepted for publication in Journal of Algebra and its Applications