拓扑效应代数

发布时间：2018-03-13 02:01

本文选题：拓扑效应代数　切入点：态射　出处：《山东大学学报(理学版)》2017年10期 　论文类型：期刊论文

【摘要】：在一些经典效应代数上引入了拓扑结构,使其成为拓扑效应代数,证明了两个拓扑效应代数的直和仍是拓扑效应代数,拓扑效应代数的模糊集系统仍是拓扑效应代数。给出了拓扑效应代数上连续映射的定义,并研究了拓扑效应代数上态射(单调态射、同构)的连续性,证明了从一个拓扑效应代数到另一个拓扑效应代数的全体连续映射之集仍是拓扑效应代数。
[Abstract]:The topological structure is introduced into some classical effect algebras to make them become topological effect algebras. It is proved that the direct sum of two topological effect algebras is still topological effect algebras. The fuzzy set system of topological effect algebra is still topological effect algebra. The definition of continuous mapping on topological effect algebra is given, and the continuity of morphism (monotone morphism, isomorphism) on topological effect algebra is studied. It is proved that the set of all continuous mappings from one topological effect algebra to another is still topological effect algebra.
【作者单位】：榆林学院数学与统计学院;陕西师范大学数学与信息科学学院;
【基金】：国家自然科学基金资助项目(11501496) 陕西省自然科学基础研究计划项目(2014JQ2-1003)
【分类号】：O177.1

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