| 简单图范畴与群范畴之间的一对伴随函子 |
| |
| 引用本文： | 苑呈涛,汤建钢.简单图范畴与群范畴之间的一对伴随函子[J].伊犁师范学院学报(自然科学版),2013(4):17-20. |
| |
| 作者姓名： | 苑呈涛 汤建钢 |
| |
| 作者单位： | 伊犁师范学院数学与统计学院,新疆伊宁835000 |
| |
| 基金项目： | 国家自然科学基金项目（11161050）,（31424020） |
| |
| 摘 要： | 基于群中元素的交换性，构造了一个函子G：Groups→s -Graphs ，并且构造了其反向函子F：s -Graphs→Groups ，证明了F恰是G的伴随函子。
|
| 关 键 词： | 函子 伴随 群范畴 简单图范畴 |
A Pair of Adjoint Functors Between the Category of Simple Graphs and the Category of Groups |
| |
| YUAN Cheng-tao,TANG Jian-gang.A Pair of Adjoint Functors Between the Category of Simple Graphs and the Category of Groups[J].Journal of Ili Normal University,2013(4):17-20. |
| |
| Authors: | YUAN Cheng-tao TANG Jian-gang |
| |
| Institution: | (School of Mathematics and Statistics, Fili Normal University, Fining, Xinfiang 835000, China) |
| |
| Abstract: | In this paper, we construct a functor G：Groups→s -Graphs ,based on the commutativity of the elements of a group, and we also construct a functor F：s -Graphs→Groups ,and prove that F and G is a pair of adjoint functors. |
| |
| Keywords: | functor adjoint category of groups category of simple graphs |
| 本文献已被 维普 等数据库收录！ |
