L-子坡代数范畴及其性质
Category of L-subinclines and its properties
伏文清 1李生刚2
作者信息
- 1. 西安工业大学理学院,陕西西安710032
- 2. 陕西师范大学数学与信息科学学院,陕西西安710062
- 折叠
摘要
研究L-子坡代数范畴L-Sine的性质,首先给出了L-子坡代数范畴的定义,证明了其为坡代数范畴上的拓扑范畴,给出了其中等子和乘积的构造,证明了它有拉回.其次,定义了坡代数L-余塔的概念,以及由所有坡代数L-余塔构成的范畴Incc,证明了在一定条件下,范畴L-SInc与范畴InccL同构.
Abstract
Category of L - subinclines and its properties are studied. Firstly, the category of L - subinclines L - SIne is defined, and it is proved to be a topological category on the category of inclines, the formation of equalizer and product in L - SIne are given,and it is proved that the category L - SIne has pull back. Secondly,the consept of L - cotower of inclines and the category of them are defined, it is proved that, the category L - SIne and category IncLC are isomorphic under some appropriate condition.
关键词
坡代数/L-子坡代数/拓扑范畴/等子/乘积/同构Key words
incline/L - subincline/topological category/equalizer/product/isomorphic引用本文复制引用
基金项目
国家自然科学基金(11071151)
陕西省教育厅专项基金(11JK0484)
西安工业大学校长基金(XAGDXJJ1029)
出版年
2013
NETL
NSTL
维普
万方数据