A Generalized Biproduct Theorem  

广义双积定理(英文)

作　　者：吴文海 章月娥 马天水 

机构地区：[1]Department of Mathematics, Xi'an Electric Power College [2]Jiangsu Qingjiang Middle School [3]Department of Mathematics, Henan Normal University

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第4期613-620,共8页数学季刊（英文版）

基　　金：Supported by the NNSF of China(10871042);Supported by the Foster Foundation of Henan Normal University(2010PL01);Supported by the Research Fund of PhD(1005)

摘　　要：We develop the Radford's biproduct theorem which plays an important role in giving a negative answer to a conjecture of I Kaplansky. Let B, H be two Hopf algebras with H acting weakly on B and α, β : B → H H be two linear maps verifying suitable conditions. We consider in this paper a twisted Hopf crossed coproduct B ×βα H and derive a necessary and sufficient condition for B # ×βα H with a Hopf smash product structure to be a bialgebra which generalizes in [14, Theorem 1.1] and the well-known Radford biproduct theorem [10, Theorem 1] .

关 键 词：Hopf algebra twisted Hopf crossed coproduct Hopf smash product 

分 类 号：O153.3[理学—数学]