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关于格上二元运算“-”的性质研究
引用本文:祝祯祯,卢涛.关于格上二元运算“-”的性质研究[J].佳木斯工学院学报,2014(6):950-951.
作者姓名:祝祯祯  卢涛
作者单位:淮北师范大学数学科学学院,安徽淮北235000
基金项目:安徽省自然科学研究项目(IQ20127Z358);国家自然科学基金项目(11171156).
摘    要:在格上定义了二元运算“—”,得到一些运算性质,通过给出分散完备格的概念与性质,得出分散完备格与关于“-”运算满足分配律的格的等价性的刻画,最后,并在格矩阵上也定义了二元运算“—”,从而得到相关性质与结论。

关 键 词:分配格  分散完备格  格矩阵

Several Sudies of Continuous Lattice Theory
Authors:ZHU Zhen-zhen  LU Tao
Affiliation:( School of Mathematical Sdences, Huaibei Normal University, Huaibei 235000, China)
Abstract:The relevant definitions and main properties were compared among the continuous lattice .Semi continuous lattice and semi continuous dcpo , and their relations and differences were obtained .So some supple-ments were made and the concept of local semi base about semi continuous dcpo was introduced .And some rele-vant properties and conclusions were obtained .
Keywords:continuous lattice  semi continuous lattice  semi continuous dcpo  local semi base
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