1) bicrossed product
双交叉积
1.
This note begins with necessary and sufficient conditions for the smash product algebra A#H to be a bialgebra with a quotient bialgebra H and a weak injection from H to A#H , and points out this structure includes biproduct, bicrossed product and bicrossed coproduct as special cases by restricting maps α, β, γ or Δ A to some special maps.
对此取特殊同态 ,证明此种构造推广了双积、双交叉积和双交叉余积等结构 ,有较广的覆盖面 。
2.
This paper discussed the foundation of bicrossed products with inner action and inner coaction, investigated the conditions of a bicrossed product being to a bismash product, and proved that bismash product is isomophic to Hopf algebra HA.
本文通过双交叉积Ｈβ［φ］α［ｘ］Ａ的构造，给出双交叉积成为双Ｓｍａｓｈ积的条件。
3.
The purpose of this paper is to begin to lay the foundation of bicrossed products of Hopf algebra.
本文定义并详细讨论了交叉余积，考虑交叉积与交叉余积合起未成为双代数的问题，讨论了由内作用，内余作用构造的双交叉积。
2) crossed biproduct
交叉双积
1.
Moreover we give some characterizations for crossed biproducts.
提出了双代数上的余模余代数的内余作用和交叉双积的概念 ,给出了交叉余积的一些性质及由内余作用诱导的交叉余积的构造方法 ,还给出了交叉双积的一些性质。
3) Weak bicrossed product
弱双交叉积
4) crossproduct
双重交叉积
1.
The crossproduct over weak Hopf algebras ;
弱Hopf代数上的双重交叉积
5) Double crossed Bi-product
偶交叉双积
6) bicrossed coproducts
双交叉余积
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说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条