范畴的理想及其应用  

The ideal of category and its applications

作　　者：冯清 FENG Qing(School of Electronic and Information Engineering,Fuqing Branch of Fujian Normal University,Fuqing 350300,China)

机构地区：[1]福建师范大学福清分校电子与信息工程学院,福建福清350300

出　　处：《福建工程学院学报》2018年第6期609-612,共4页Journal of Fujian University of Technology

基　　金：福建省中青年教师教育科研项目(JT180619)

摘　　要：刻画了函子范畴RI、回路范畴ΩR、推出范畴Ro的理想与范畴R的理想之间的关系。证明了函子范畴RI的理想与范畴R的理想可相互确定,回路范畴ΩR的理想与范畴R的理想可相互确定,范畴R的理想可构造推出范畴Ro的理想。The relationship between the functor category R^I,loop category ΩR,pushout category R^o and the ideals of category R was described.It was also verified that the ideals of functor category R^I and that of category R can be determined by each other,and the ideals of loop category ΩR and that of category R can be determined by each other.Moreover,the ideals of category R can construct that of pushout category R^o.

关 键 词：范畴的理想 函子范畴 回路范畴 推出范畴 

分 类 号：O154.1[理学—数学]