【摘要】 设 H为双代数 .σ∈ (H× H ) *是强余循环 ,本文证明在 m onoidal范畴μH中存在一个辫子 m onoidal子范畴μ( H ,σ) 。同时给出μ( H ,σ) =μH 的几个等价条件 ,从这些等价条件中得到 ,一个交换的双代数是辫子双代数更多还原

【Abstract】 If H is a bialgebra over a field k,and σ∈(H×H) * is a strong cocycle,then we can prove the existence of a sub monoidal category μ (H,σ) in μ H ,and several equivalent conditions of μ (H,σ) =μ H .From these equivalent conditions,we conclude that each of alternative bialgebra is a braided bialgebra.更多还原