On the structure of A/k-bialgebras in prime characteristic |
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| Authors: | Ioannis Dokas |
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| Affiliation: | Department of Mathematics, National and Kapodistrian University of Athens, Athens, Greece |
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| Abstract: | In this paper, we study A/k-bialgebras in prime characteristic. Firstly, we prove a Cartier type structure theorem for cocomplete A/k-bialgebras. Secondly, we generalize Michaelis’s theorem. In particular, we prove that a restricted (k, K)-Lie algebra is proper if and only if its restricted enveloping algebra is proper. |
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| Keywords: | Restricted Lie algebras (k, A)-Lie algebras A/k-bialgebras proper algebras |
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