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A correspondence between Hopf ideals and sub-Hopf algebras |
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| Authors: | Mitsuhiro Takeuchi |
| Institution: | (1) Department of Mathematics, Tokyo Metropolitan University, Fukazawa-cho, Setagaya, Tokyo, Japan |
| Abstract: | In this paper we show a bijective correspondence between normal Hopf ideals and sub-Hopf algebras of a commutative Hopf algebra over a field k. This gives a purely algebraic proof of the fundamental theorem 2, III, §3, no7] of the theory of affine k-groups. |
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