| CAI Chuanren,GUO Guangquan.[J].数学年刊A辑,1999,20(2):261~270 |
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| HOPF-JACOBSON RADICAL FOR COMODULE ALGEBRAS |
| Received:October 14, 1996 Revised:October 13, 1998 |
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| Let $H$ be a Hopf algebra over a field $k$ (not necessarily finite dimensional). In this paper the Hopf-Jacobson radical $J^H(A)$ of right $H$-comodule algebra $A$ (not necessarily with identity) is studied.
The relationships between $J^H(A)$ and the Jacobson radical of the smash product $A\#H^{*\text{rat}}$ are discussed. The density theorem is given for left $(A,H)$-Hopf simple module. |
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