0 Introduction and Preliminaries
نویسنده
چکیده
The characterization of H-prime radical is given in many ways. Meantime, the relations between the radical of smash product R#H and the H-radical of Hopf module algebra R are obtained. 0 Introduction and Preliminaries In this paper, let k be a commutative associative ring with unit, H be an algebra with unit and comultiplication △ ( i.e. ∆ is a linear map: H → H ⊗H), R be an algebra over k (R may be without unit) and R be an H-module algebra. We define some necessary concept as follows. If there exists a linear map
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