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2014 Cosemisimple Hopf algebras are faithfully flat over Hopf subalgebras
Alexandru Chirvasitu
Algebra Number Theory 8(5): 1179-1199 (2014). DOI: 10.2140/ant.2014.8.1179

Abstract

The question of whether or not a Hopf algebra H is faithfully flat over a Hopf subalgebra A has received positive answers in several particular cases: when H (or more generally, just A) is commutative, cocommutative, or pointed, or when K contains the coradical of H. We prove the statement in the title, adding the class of cosemisimple Hopf algebras to those known to be faithfully flat over all Hopf subalgebras. We also show that the third term of the resulting “exact sequence” AHC is always a cosemisimple coalgebra, and that the expectation HA is positive when H is a CQG algebra.

Citation

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Alexandru Chirvasitu. "Cosemisimple Hopf algebras are faithfully flat over Hopf subalgebras." Algebra Number Theory 8 (5) 1179 - 1199, 2014. https://doi.org/10.2140/ant.2014.8.1179

Information

Received: 11 August 2013; Revised: 6 March 2014; Accepted: 21 April 2014; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1346.16026
MathSciNet: MR3263140
Digital Object Identifier: 10.2140/ant.2014.8.1179

Subjects:
Primary: 16T20
Secondary: 16T05, 16T15, 20G42

Rights: Copyright © 2014 Mathematical Sciences Publishers

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Vol.8 • No. 5 • 2014
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