Monoidal Entwined模范畴上的张量积恒等式(英文)

THE TENSOR IDENTITY OF MONOIDAL ENTWINED MODULE CATEGORY

本文研究了monoidal entwined模范畴上的张量积恒等式.利用了monoidal entwined模范畴的性质及Doi-Hopf模范畴上的张量积恒等式的研究方法,获得了monoidal entwined模范畴上的一些张量积恒等式,并证明了entwined模范畴有足够的内射对象,结果推广了Doi-Hopf模范畴的结论.

The article investigates the tensor identity of monoidal entwined module categories. By means of the properties of the monoidal entwined module categories and the methods how to get the tensor identity of Doi-Hopf modules, we obtain some tensor identity of monoidal entwined module categories, and prove that the category of entwined modules has enough injective objects. The results generalize the properties of the category of Doi-Hopf modules.