期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Some Relations Between Closure Operator Inner Operator and Connection
摘要/Abstract
摘要：
研究了内部算子及闭包算子与伴随的关系,得到了2个主要结论:1)在f是内部算子,g是闭包算子的条件下,(f,g)成为伴随的充要条件是f和g的不动点集相同2)在(f,g)为伴随的条件下,f是内部算子(或闭包算子)与g是闭包算子(或内部算子)的等价刻画.
Abstract：
Some relations between the closure operator inner operator and Galois connetion have been studied.Two main conclusions about the relations of them are obtained:1) The equivalent condiction for (f,g) to be a Galois connection when f is an inner operator and g is a colsure operator is f and g have the same fixed point set;2) The equivelent condition for f to be an inner operator (or a closure operator)and g to be a closure operator (or an inner operator) is gaven when (f,g) is a Galois connection.
关键词
Key words：
inner operator
;
closure operator
;
Galois connection