%0 Journal Article
%T Topos中完备偏序对象上的算子理论<br>The operator theory on complete partially ordered objects in a topos
%A 卢涛
%A 王习娟
%A 贺伟&lt
%A br&gt
%A LU Tao
%A WANG Xi-juan
%A HE Wei
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2015.481
%X 摘要： 研究了完备偏序对象间的投射算子, 给出了闭包算子和核算子的等价刻画, 将一些格论中的经典结论推广到了topos中。<br>Abstract: The concept of the projective operators between complete partially ordered objects in a topos is investigated. The characterizations of the closure operator and the kernel operator in a topos are given, which are common generalizations of the classical lattice theory
%K 核算子
%K 投射算子
%K 完备偏序对象
%K 闭包算子
%K 偏序对象
%K &lt
%K br&gt
%K partially ordered object
%K projective operator
%K complete partially ordered object
%K closure operator
%K kernel operator
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.481