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On an injectivity lemma in the proof of Tannakian duality

Hô Hai Phùng

Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam

https://doi.org/10.1142/S021949881650167XCited by:2 (Source: Crossref)

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 coalgebras over a Noetherian domain.

Communicated by P. Smith

Keywords:

AMSC: 16T15, 18A22

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