BiHom-双代数上的Radford's余积
Radford's Biproduct onBiHom-Bialgebras
DOI: 10.12677/AAM.2021.108295, PDF, HTML, 下载: 213  浏览: 305 
作者: 庞佳琳, 吕家凤*, 刘 玲：浙江师范大学数学与计算机科学学院, 浙江 金华
关键词: BiHom-双代数；BiHom-Smash 余积；BiHom-余模余代数；BiHom-Hopf 代数；BiHom-Bialgebra； BiHom-Smash Coproduct； BiHom-Comodule Coalgebra； BiHom-Hopf Algebra
摘要: 为了研究 BiHom-双代数上的 Radford's 双积，通过运用类比的思想方法，给出了 BiHom-余模余代数以及 BiHom-Smash 余积的定义，并得到了 BiHom-Smash 积和 BiHom-Smash 余积形成 BiHom-双代数的充分必要条件。
Abstract: It  was  aimed  to  study  the  Radford's  biproduct  over  BiHom-bialgebras.   By  applying the thought of analogy, the notion of BiHom-comodule coalgebra and BiHom-Smash coproduct over  BiHom-bialgebras was  defined.  Further,  a necessary and sufficien- t condition for the BiHom-Smash product and BiHom-Smash coproduct to form a BiHom-bialgebra was obtained.
文章引用：庞佳琳, 吕家凤, 刘玲. BiHom-双代数上的Radford's余积[J]. 应用数学进展, 2021, 10(8): 2834-2846. https://doi.org/10.12677/AAM.2021.108295

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