闭集格范畴的定向极限

J4 ›› 2013, Vol. 48 ›› Issue (6): 100-103.

闭集格范畴的定向极限

李海洋

西安工程大学理学院, 陕西西安 710048

收稿日期:2013-01-30 出版日期:2013-06-20 发布日期:2013-06-09
作者简介:李海洋(1975- ), 男, 博士, 副教授, 研究方向为格上拓扑学. Email:fplihaiyang@126.com
基金资助:
国家自然科学基金资助项目(11271297);陕西省教育厅专项基金资助项目(12JK853)

The direct limits in the category of closedset lattices

LI Hai-yang

School of Science, Xi’an Polytechnic University, Xi’an 710048, Shaanxi, China

Received:2013-01-30 Online:2013-06-20 Published:2013-06-09

摘要/Abstract

摘要：

研究闭集格范畴(闭集格以及闭集格间保任意并、保余素元的映射组成的范畴)的定向极限，通过并半格的闭集格化这种方法在一定的假设下给出了闭集格范畴定向极限的具体构造。

关键词: 闭集格范畴；闭集格化；定向极限

Abstract:

The direct limits in the category of closed-set lattices—the category of closed-set lattices and mappings which preserves arbitrary unions and nonzero co-prime elements is studied. By the way of closed-setlatticefies of joinsemilattice, the structure of direct limits in the category of closed-set lattices is given on the certain condition.

Key words: the category of closed-set lattices; closed-set-latticefies; direct limits

李海洋. 闭集格范畴的定向极限[J]. J4, 2013, 48(6): 100-103.

LI Hai-yang. The direct limits in the category of closedset lattices[J]. J4, 2013, 48(6): 100-103.

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