| 双单子的Smash积 |
| |
| 引用本文： | 郭双建,张晓辉. 双单子的Smash积[J]. 吉林大学学报(理学版), 2015, 53(5): 914-920 |
| |
| 作者姓名： | 郭双建 张晓辉 |
| |
| 作者单位： | 1. 贵州财经大学 数学与统计学院, 贵阳 550025; 2. 东南大学 数学系, 南京 210096 |
| |
| 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.
|
| 关 键 词： | 双单子 Smash积 张量范畴 2 范畴 |
| 收稿时间： | 2015-01-14 |
Smash Product of Bimonads |
| |
| GUO Shuangjian,ZHANG Xiaohui. Smash Product of Bimonads[J]. Journal of Jilin University: Sci Ed, 2015, 53(5): 914-920 |
| |
| Authors: | GUO Shuangjian ZHANG Xiaohui |
| |
| Affiliation: | 1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China;2. Department of Mathematics, Southeast University, Nanjing 210096, China |
| |
| Abstract: | 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 GF is equivalentto the monoidal structure of GF modules. Finally, we gave necessary and sufficient conditions for the category of GF modules to be a monoidal category. |
| |
| Keywords: | bimonad Smash product monoidal category 2 category |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《吉林大学学报(理学版)》下载全文 |
|
