环的挖补定理的推广  

Generalization of the Ring's Theorem of Taking Out and Patching

作　　者：彭少玉[1] 程学汉[1] 杜国祥 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025

出　　处：《鲁东大学学报（自然科学版）》2008年第1期27-29,共3页Journal of Ludong University:Natural Science Edition

基　　金：鲁东大学教改立项(Y0710)

摘　　要：将环的挖补定理推广到欧几里得空间,并以推论的形式给出了线性空间的挖补定理;将环的挖补定理推广到非代数系统——拓扑空间,得到了拓扑空间的挖补定理.As the theorem of taking out and patching in ring is generalied to the Euclidean space,the theorem in linear space is deduced.Furthermore,the theorey is generalized to a nonalgebraic system that is topological space,and then the theorem of taking out and patching in topological space is obtained.

关 键 词：环 代数系统 欧氏空间 拓扑空间 

分 类 号：O189.11[理学—数学]