Radford双积Hom-Hopf代数上的Lazy 2-余循环（英文）

LAZY 2-COCYCLE ON RADFORD BIPRODUCT HOM-HOPF ALGEBRA

本文研究了Radford双积Hom-Hopf代数上的lazy 2-余循环.利用扭曲方法得到了(B,β)上的左Hom-2-余循环σ和(B×^#H,β■α)上的左Hom-2-余循环σ之间的关系,推广了通常Hopf代数情形下的相应结论.

In this paper, we study Lazy 2-cocycle on Radford’s biproduct Hom-Hopf algebra.By using twisting method, we mainly investigate the relations between the left Hom-2-cocycles σon(B,β) and ■ on(B×^#,β■α) which generalise the corresponding results in the case of usual Hopf algebras.