[1]冯清.范畴的理想及其应用[J].福建工程学院学报,2018,16(06):609-612.[doi:10.3969/j.issn.1672-4348.2018.06.017]
　FENG Qing.The ideal of category and its applications[J].Journal of FuJian University of Technology,2018,16(06):609-612.[doi:10.3969/j.issn.1672-4348.2018.06.017]
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范畴的理想及其应用()
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《福建工程学院学报》[ISSN:2097-3853/CN:35-1351/Z]

卷:
第16卷
期数:
2018年06期
页码:
609-612
栏目:
出版日期:
2018-12-25

文章信息/Info

Title:
The ideal of category and its applications
作者:
冯清
福建师范大学福清分校电子与信息工程学院
Author(s):
FENG Qing
School of Electronic and Information Engineering, Fuqing Branch of Fujian Normal University
关键词:
范畴的理想; 函子范畴; 回路范畴; 推出范畴
Keywords:
ideal of category;  functor category;  loop category;  pushout category
分类号:
O154.1
DOI:
10.3969/j.issn.1672-4348.2018.06.017
文献标志码:
A
摘要:
刻画了函子范畴、回路范畴、推出范畴的理想与范畴的理想之间的关系。证明了函子范畴的理想与范畴的理想可相互确定，回路范畴的理想与范畴的理想可相互确定，范畴的理想可构造推出范畴的理想。
Abstract:
The relationship between the functor category , loop category , pushout category and the ideals of category?was described. It was also verified that the ideals of functor category and that of category can be determined by each other, and the ideals of loop category and that of category can be determined by each other. Moreover, the ideals of category can construct that of pushout category.

参考文献/References:

[1] STREET R. Ideals, radicals, and structure of additive categories[J]. Applied Categorical Structures, 1995(3): 139-149.
[2] 冯清, 江维, 陈清华. 范畴的中心及其应用[J]. 福建师范大学学报(自然科学版), 2014, 30(5): 9-22.
[3] 冯清, 陈清华. 函子范畴与范畴的平凡扩张[J]. 佳木斯大学学报(自然科学版), 2013(1): 133-136.
[4] BASS H. Algebraic K|theory [M]. New York: Benjamin, 1968.
[5] 张锦州. 范畴局部化与回路范畴的若干问题研究及应用[D]. 福州: 福建师范大学, 2012.
[6] 冯清, 李长安. 回路范畴的平凡扩张与冲积[J]. 福建师范大学学报(自然科学版), 2015, 35(4): 1-5.
[7] 沈倩芳. 推出范畴的性质[D]. 武汉: 华中师范大学, 2006.

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更新日期/Last Update: 2018-12-25