Artinian Hopf algebras are finite dimensional

Chia Hsin Liu; James J. Zhang

doi:10.1090/S0002-9939-07-08711-4

Artinian Hopf algebras are finite dimensional

Chia Hsin Liu^*, James J. Zhang

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We prove that an artinian Hopf algebra over a field is finite dimensional. This answers a question of Bergen.

Original language	English
Pages (from-to)	1679-1680
Number of pages	2
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9939-07-08711-4
Publication status	Published - 2007 Jun

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "Artinian Hopf algebras are finite dimensional",

abstract = "We prove that an artinian Hopf algebra over a field is finite dimensional. This answers a question of Bergen.",

author = "Liu, {Chia Hsin} and Zhang, {James J.}",

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Artinian Hopf algebras are finite dimensional

Abstract

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