BiHom-双代数上的Radford's余积
Radford's Biproduct onBiHom-Bialgebras
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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