中文摘要：

考虑双单子Smash积的表示范畴.设F和G是给定的双单子,利用2-范畴方法讨论其Smash积GF上的张量结构,证明了GF的双单子结构与其表示范畴上的张量结构是等价的,并给出了其表示范畴做成张量范畴的一系列充要条件.

英文摘要：

The aim of this paper is to define and study the Smash product of two bimonads.Assume that F and G are bimonads,GF denotes their Smash product,the monoidal structure of GF was discussed via the theory of 2-category.We showed that the bimonad structure of GFis equivalent to the monoidal structure of GF-modules.Finally,we gave necessary and sufficient conditions for the category of GF-modules to be a monoidal category.